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Finding the Fourth Proportional to 527.75, 727.37 and 387.57

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Solution

The fourth proportional to 527.75, 727.37 and 387.57 is: 534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.75 : 727.37 = 387.57 : x
  2. Step 2: Convert to fraction form
    527.75/727.37 = 387.57/x
  3. Step 3: Cross multiply
    527.75x = 727.37 × 387.57
  4. Step 4: Simplify right side
    527.75x = 281,906.79
  5. Step 5: Solve for x
    x = 281,906.79/527.75
  6. Step 6: Final answer
    x = 534.17

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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.