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Finding the Fourth Proportional to 534.92, 807.47 and 529.16

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Solution

The fourth proportional to 534.92, 807.47 and 529.16 is: 798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.92 : 807.47 = 529.16 : x
  2. Step 2: Convert to fraction form
    534.92/807.47 = 529.16/x
  3. Step 3: Cross multiply
    534.92x = 807.47 × 529.16
  4. Step 4: Simplify right side
    534.92x = 427,280.83
  5. Step 5: Solve for x
    x = 427,280.83/534.92
  6. Step 6: Final answer
    x = 798.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.