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Finding the Fourth Proportional to 539.92, 815.02 and 534.16

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Solution

The fourth proportional to 539.92, 815.02 and 534.16 is: 806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.92 : 815.02 = 534.16 : x
  2. Step 2: Convert to fraction form
    539.92/815.02 = 534.16/x
  3. Step 3: Cross multiply
    539.92x = 815.02 × 534.16
  4. Step 4: Simplify right side
    539.92x = 435,351.08
  5. Step 5: Solve for x
    x = 435,351.08/539.92
  6. Step 6: Final answer
    x = 806.33

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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.