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Finding the Fourth Proportional to 1,127.80, 1,691.99 and 397.45

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Solution

The fourth proportional to 1,127.80, 1,691.99 and 397.45 is: 596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.80 : 1,691.99 = 397.45 : x
  2. Step 2: Convert to fraction form
    1,127.80/1,691.99 = 397.45/x
  3. Step 3: Cross multiply
    1,127.80x = 1,691.99 × 397.45
  4. Step 4: Simplify right side
    1,127.80x = 672,481.43
  5. Step 5: Solve for x
    x = 672,481.43/1,127.80
  6. Step 6: Final answer
    x = 596.28

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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.