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Finding the Fourth Proportional to 801.12, 1,104.96 and 592.32

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Solution

The fourth proportional to 801.12, 1,104.96 and 592.32 is: 816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.12 : 1,104.96 = 592.32 : x
  2. Step 2: Convert to fraction form
    801.12/1,104.96 = 592.32/x
  3. Step 3: Cross multiply
    801.12x = 1,104.96 × 592.32
  4. Step 4: Simplify right side
    801.12x = 654,489.91
  5. Step 5: Solve for x
    x = 654,489.91/801.12
  6. Step 6: Final answer
    x = 816.97

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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.