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Finding the Fourth Proportional to 748.56, 1,123.64 and 424.56

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Solution

The fourth proportional to 748.56, 1,123.64 and 424.56 is: 637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.56 : 1,123.64 = 424.56 : x
  2. Step 2: Convert to fraction form
    748.56/1,123.64 = 424.56/x
  3. Step 3: Cross multiply
    748.56x = 1,123.64 × 424.56
  4. Step 4: Simplify right side
    748.56x = 477,052.60
  5. Step 5: Solve for x
    x = 477,052.60/748.56
  6. Step 6: Final answer
    x = 637.29

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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.