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Finding the Fourth Proportional to 1,588.89, 2,192.58 and 880.71

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Solution

The fourth proportional to 1,588.89, 2,192.58 and 880.71 is: 1,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.89 : 2,192.58 = 880.71 : x
  2. Step 2: Convert to fraction form
    1,588.89/2,192.58 = 880.71/x
  3. Step 3: Cross multiply
    1,588.89x = 2,192.58 × 880.71
  4. Step 4: Simplify right side
    1,588.89x = 1,931,027.13
  5. Step 5: Solve for x
    x = 1,931,027.13/1,588.89
  6. Step 6: Final answer
    x = 1,215.33

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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.