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Finding the Fourth Proportional to 749.46, 1,123.72 and 652.86

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Solution

The fourth proportional to 749.46, 1,123.72 and 652.86 is: 978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.46 : 1,123.72 = 652.86 : x
  2. Step 2: Convert to fraction form
    749.46/1,123.72 = 652.86/x
  3. Step 3: Cross multiply
    749.46x = 1,123.72 × 652.86
  4. Step 4: Simplify right side
    749.46x = 733,631.84
  5. Step 5: Solve for x
    x = 733,631.84/749.46
  6. Step 6: Final answer
    x = 978.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.