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Finding the Fourth Proportional to 532.98, 738.72 and 523.80

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Solution

The fourth proportional to 532.98, 738.72 and 523.80 is: 726.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.98 : 738.72 = 523.80 : x
  2. Step 2: Convert to fraction form
    532.98/738.72 = 523.80/x
  3. Step 3: Cross multiply
    532.98x = 738.72 × 523.80
  4. Step 4: Simplify right side
    532.98x = 386,941.54
  5. Step 5: Solve for x
    x = 386,941.54/532.98
  6. Step 6: Final answer
    x = 726.00

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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.