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Finding the Fourth Proportional to 748.03, 1,121.66 and 439.98

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Solution

The fourth proportional to 748.03, 1,121.66 and 439.98 is: 659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.03 : 1,121.66 = 439.98 : x
  2. Step 2: Convert to fraction form
    748.03/1,121.66 = 439.98/x
  3. Step 3: Cross multiply
    748.03x = 1,121.66 × 439.98
  4. Step 4: Simplify right side
    748.03x = 493,507.97
  5. Step 5: Solve for x
    x = 493,507.97/748.03
  6. Step 6: Final answer
    x = 659.74

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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.