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Finding the Fourth Proportional to 748.50, 1,122.96 and 315.69

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Solution

The fourth proportional to 748.50, 1,122.96 and 315.69 is: 473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.50 : 1,122.96 = 315.69 : x
  2. Step 2: Convert to fraction form
    748.50/1,122.96 = 315.69/x
  3. Step 3: Cross multiply
    748.50x = 1,122.96 × 315.69
  4. Step 4: Simplify right side
    748.50x = 354,507.24
  5. Step 5: Solve for x
    x = 354,507.24/748.50
  6. Step 6: Final answer
    x = 473.62

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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.