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Finding the Fourth Proportional to 514.44, 772.56 and 491.28

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Solution

The fourth proportional to 514.44, 772.56 and 491.28 is: 737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.44 : 772.56 = 491.28 : x
  2. Step 2: Convert to fraction form
    514.44/772.56 = 491.28/x
  3. Step 3: Cross multiply
    514.44x = 772.56 × 491.28
  4. Step 4: Simplify right side
    514.44x = 379,543.28
  5. Step 5: Solve for x
    x = 379,543.28/514.44
  6. Step 6: Final answer
    x = 737.78

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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.