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Finding the Fourth Proportional to 749.83, 1,123.99 and 475.39

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Solution

The fourth proportional to 749.83, 1,123.99 and 475.39 is: 712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.83 : 1,123.99 = 475.39 : x
  2. Step 2: Convert to fraction form
    749.83/1,123.99 = 475.39/x
  3. Step 3: Cross multiply
    749.83x = 1,123.99 × 475.39
  4. Step 4: Simplify right side
    749.83x = 534,333.61
  5. Step 5: Solve for x
    x = 534,333.61/749.83
  6. Step 6: Final answer
    x = 712.61

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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.