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Finding the Fourth Proportional to 539.20, 734.08 and 534.40

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Solution

The fourth proportional to 539.20, 734.08 and 534.40 is: 727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.20 : 734.08 = 534.40 : x
  2. Step 2: Convert to fraction form
    539.20/734.08 = 534.40/x
  3. Step 3: Cross multiply
    539.20x = 734.08 × 534.40
  4. Step 4: Simplify right side
    539.20x = 392,292.35
  5. Step 5: Solve for x
    x = 392,292.35/539.20
  6. Step 6: Final answer
    x = 727.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.