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Finding the Fourth Proportional to 748.78, 1,123.61 and 473.87

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Solution

The fourth proportional to 748.78, 1,123.61 and 473.87 is: 711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.78 : 1,123.61 = 473.87 : x
  2. Step 2: Convert to fraction form
    748.78/1,123.61 = 473.87/x
  3. Step 3: Cross multiply
    748.78x = 1,123.61 × 473.87
  4. Step 4: Simplify right side
    748.78x = 532,445.51
  5. Step 5: Solve for x
    x = 532,445.51/748.78
  6. Step 6: Final answer
    x = 711.09

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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.