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Finding the Fourth Proportional to 748.70, 1,122.74 and 440.62

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Solution

The fourth proportional to 748.70, 1,122.74 and 440.62 is: 660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.70 : 1,122.74 = 440.62 : x
  2. Step 2: Convert to fraction form
    748.70/1,122.74 = 440.62/x
  3. Step 3: Cross multiply
    748.70x = 1,122.74 × 440.62
  4. Step 4: Simplify right side
    748.70x = 494,701.70
  5. Step 5: Solve for x
    x = 494,701.70/748.70
  6. Step 6: Final answer
    x = 660.75

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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.