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Finding the Fourth Proportional to 1,588.81, 2,192.55 and 880.63

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Solution

The fourth proportional to 1,588.81, 2,192.55 and 880.63 is: 1,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.81 : 2,192.55 = 880.63 : x
  2. Step 2: Convert to fraction form
    1,588.81/2,192.55 = 880.63/x
  3. Step 3: Cross multiply
    1,588.81x = 2,192.55 × 880.63
  4. Step 4: Simplify right side
    1,588.81x = 1,930,825.31
  5. Step 5: Solve for x
    x = 1,930,825.31/1,588.81
  6. Step 6: Final answer
    x = 1,215.27

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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.