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Finding the Fourth Proportional to 527.37, 787.26 and 490.92

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Solution

The fourth proportional to 527.37, 787.26 and 490.92 is: 732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.37 : 787.26 = 490.92 : x
  2. Step 2: Convert to fraction form
    527.37/787.26 = 490.92/x
  3. Step 3: Cross multiply
    527.37x = 787.26 × 490.92
  4. Step 4: Simplify right side
    527.37x = 386,481.68
  5. Step 5: Solve for x
    x = 386,481.68/527.37
  6. Step 6: Final answer
    x = 732.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.