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Finding the Fourth Proportional to 729.32, 1,005.55 and 588.92

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Solution

The fourth proportional to 729.32, 1,005.55 and 588.92 is: 811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.32 : 1,005.55 = 588.92 : x
  2. Step 2: Convert to fraction form
    729.32/1,005.55 = 588.92/x
  3. Step 3: Cross multiply
    729.32x = 1,005.55 × 588.92
  4. Step 4: Simplify right side
    729.32x = 592,182.01
  5. Step 5: Solve for x
    x = 592,182.01/729.32
  6. Step 6: Final answer
    x = 811.97

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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.