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Finding the Fourth Proportional to 534.90, 743.28 and 532.74

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Solution

The fourth proportional to 534.90, 743.28 and 532.74 is: 740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.90 : 743.28 = 532.74 : x
  2. Step 2: Convert to fraction form
    534.90/743.28 = 532.74/x
  3. Step 3: Cross multiply
    534.90x = 743.28 × 532.74
  4. Step 4: Simplify right side
    534.90x = 395,974.99
  5. Step 5: Solve for x
    x = 395,974.99/534.90
  6. Step 6: Final answer
    x = 740.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.