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Finding the Fourth Proportional to 537.40, 744.50 and 524.64

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Solution

The fourth proportional to 537.40, 744.50 and 524.64 is: 726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.40 : 744.50 = 524.64 : x
  2. Step 2: Convert to fraction form
    537.40/744.50 = 524.64/x
  3. Step 3: Cross multiply
    537.40x = 744.50 × 524.64
  4. Step 4: Simplify right side
    537.40x = 390,591.86
  5. Step 5: Solve for x
    x = 390,591.86/537.40
  6. Step 6: Final answer
    x = 726.82

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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.