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Finding the Fourth Proportional to 527.31, 727.56 and 428.90

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Solution

The fourth proportional to 527.31, 727.56 and 428.90 is: 591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.31 : 727.56 = 428.90 : x
  2. Step 2: Convert to fraction form
    527.31/727.56 = 428.90/x
  3. Step 3: Cross multiply
    527.31x = 727.56 × 428.90
  4. Step 4: Simplify right side
    527.31x = 312,046.85
  5. Step 5: Solve for x
    x = 312,046.85/527.31
  6. Step 6: Final answer
    x = 591.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.