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Finding the Fourth Proportional to 748.43, 1,122.64 and 315.58

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Solution

The fourth proportional to 748.43, 1,122.64 and 315.58 is: 473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.43 : 1,122.64 = 315.58 : x
  2. Step 2: Convert to fraction form
    748.43/1,122.64 = 315.58/x
  3. Step 3: Cross multiply
    748.43x = 1,122.64 × 315.58
  4. Step 4: Simplify right side
    748.43x = 354,282.73
  5. Step 5: Solve for x
    x = 354,282.73/748.43
  6. Step 6: Final answer
    x = 473.37

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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.