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Finding the Fourth Proportional to 527.61, 727.50 and 432.78

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Solution

The fourth proportional to 527.61, 727.50 and 432.78 is: 596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.61 : 727.50 = 432.78 : x
  2. Step 2: Convert to fraction form
    527.61/727.50 = 432.78/x
  3. Step 3: Cross multiply
    527.61x = 727.50 × 432.78
  4. Step 4: Simplify right side
    527.61x = 314,847.45
  5. Step 5: Solve for x
    x = 314,847.45/527.61
  6. Step 6: Final answer
    x = 596.74

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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.