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Finding the Fourth Proportional to 539.54, 803.85 and 532.02

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Solution

The fourth proportional to 539.54, 803.85 and 532.02 is: 792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.54 : 803.85 = 532.02 : x
  2. Step 2: Convert to fraction form
    539.54/803.85 = 532.02/x
  3. Step 3: Cross multiply
    539.54x = 803.85 × 532.02
  4. Step 4: Simplify right side
    539.54x = 427,664.28
  5. Step 5: Solve for x
    x = 427,664.28/539.54
  6. Step 6: Final answer
    x = 792.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.