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Finding the Fourth Proportional to 748.54, 1,120.38 and 644.86

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Solution

The fourth proportional to 748.54, 1,120.38 and 644.86 is: 965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.54 : 1,120.38 = 644.86 : x
  2. Step 2: Convert to fraction form
    748.54/1,120.38 = 644.86/x
  3. Step 3: Cross multiply
    748.54x = 1,120.38 × 644.86
  4. Step 4: Simplify right side
    748.54x = 722,488.25
  5. Step 5: Solve for x
    x = 722,488.25/748.54
  6. Step 6: Final answer
    x = 965.20

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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.