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Finding the Fourth Proportional to 748.53, 1,123.10 and 337.86

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Solution

The fourth proportional to 748.53, 1,123.10 and 337.86 is: 506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.53 : 1,123.10 = 337.86 : x
  2. Step 2: Convert to fraction form
    748.53/1,123.10 = 337.86/x
  3. Step 3: Cross multiply
    748.53x = 1,123.10 × 337.86
  4. Step 4: Simplify right side
    748.53x = 379,450.57
  5. Step 5: Solve for x
    x = 379,450.57/748.53
  6. Step 6: Final answer
    x = 506.93

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Double scale
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1.5x scale

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.