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Finding the Fourth Proportional to 814.62, 1,124.72 and 627.78

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Solution

The fourth proportional to 814.62, 1,124.72 and 627.78 is: 866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.62 : 1,124.72 = 627.78 : x
  2. Step 2: Convert to fraction form
    814.62/1,124.72 = 627.78/x
  3. Step 3: Cross multiply
    814.62x = 1,124.72 × 627.78
  4. Step 4: Simplify right side
    814.62x = 706,080.15
  5. Step 5: Solve for x
    x = 706,080.15/814.62
  6. Step 6: Final answer
    x = 866.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.