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Finding the Fourth Proportional to 1,588.86, 2,192.75 and 880.76

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Solution

The fourth proportional to 1,588.86, 2,192.75 and 880.76 is: 1,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.86 : 2,192.75 = 880.76 : x
  2. Step 2: Convert to fraction form
    1,588.86/2,192.75 = 880.76/x
  3. Step 3: Cross multiply
    1,588.86x = 2,192.75 × 880.76
  4. Step 4: Simplify right side
    1,588.86x = 1,931,271.12
  5. Step 5: Solve for x
    x = 1,931,271.12/1,588.86
  6. Step 6: Final answer
    x = 1,215.51

Related Problems

Find fourth proportional to 794.43, 1,096.37 and 440.38
Half scale
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Double scale
Find fourth proportional to 1,589.86, 2,194.13 and 881.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.