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Finding the Fourth Proportional to 748.25, 1,122.38 and 421.28

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Solution

The fourth proportional to 748.25, 1,122.38 and 421.28 is: 631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.25 : 1,122.38 = 421.28 : x
  2. Step 2: Convert to fraction form
    748.25/1,122.38 = 421.28/x
  3. Step 3: Cross multiply
    748.25x = 1,122.38 × 421.28
  4. Step 4: Simplify right side
    748.25x = 472,828.53
  5. Step 5: Solve for x
    x = 472,828.53/748.25
  6. Step 6: Final answer
    x = 631.92

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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.