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Finding the Fourth Proportional to 748.90, 1,125.36 and 402.48

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Solution

The fourth proportional to 748.90, 1,125.36 and 402.48 is: 604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.90 : 1,125.36 = 402.48 : x
  2. Step 2: Convert to fraction form
    748.90/1,125.36 = 402.48/x
  3. Step 3: Cross multiply
    748.90x = 1,125.36 × 402.48
  4. Step 4: Simplify right side
    748.90x = 452,934.89
  5. Step 5: Solve for x
    x = 452,934.89/748.90
  6. Step 6: Final answer
    x = 604.80

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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.