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Finding the Fourth Proportional to 749.76, 1,123.68 and 461.28

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Solution

The fourth proportional to 749.76, 1,123.68 and 461.28 is: 691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.76 : 1,123.68 = 461.28 : x
  2. Step 2: Convert to fraction form
    749.76/1,123.68 = 461.28/x
  3. Step 3: Cross multiply
    749.76x = 1,123.68 × 461.28
  4. Step 4: Simplify right side
    749.76x = 518,331.11
  5. Step 5: Solve for x
    x = 518,331.11/749.76
  6. Step 6: Final answer
    x = 691.33

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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.