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Finding the Fourth Proportional to 748.01, 1,121.68 and 314.86

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Solution

The fourth proportional to 748.01, 1,121.68 and 314.86 is: 472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.01 : 1,121.68 = 314.86 : x
  2. Step 2: Convert to fraction form
    748.01/1,121.68 = 314.86/x
  3. Step 3: Cross multiply
    748.01x = 1,121.68 × 314.86
  4. Step 4: Simplify right side
    748.01x = 353,164.98
  5. Step 5: Solve for x
    x = 353,164.98/748.01
  6. Step 6: Final answer
    x = 472.14

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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.