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Finding the Fourth Proportional to 534.62, 740.22 and 524.90

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Solution

The fourth proportional to 534.62, 740.22 and 524.90 is: 726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.62 : 740.22 = 524.90 : x
  2. Step 2: Convert to fraction form
    534.62/740.22 = 524.90/x
  3. Step 3: Cross multiply
    534.62x = 740.22 × 524.90
  4. Step 4: Simplify right side
    534.62x = 388,541.48
  5. Step 5: Solve for x
    x = 388,541.48/534.62
  6. Step 6: Final answer
    x = 726.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.