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Finding the Fourth Proportional to 527.76, 727.96 and 380.61

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Solution

The fourth proportional to 527.76, 727.96 and 380.61 is: 524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.76 : 727.96 = 380.61 : x
  2. Step 2: Convert to fraction form
    527.76/727.96 = 380.61/x
  3. Step 3: Cross multiply
    527.76x = 727.96 × 380.61
  4. Step 4: Simplify right side
    527.76x = 277,068.86
  5. Step 5: Solve for x
    x = 277,068.86/527.76
  6. Step 6: Final answer
    x = 524.99

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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.