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Finding the Fourth Proportional to 1,127.64, 1,691.52 and 397.56

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Solution

The fourth proportional to 1,127.64, 1,691.52 and 397.56 is: 596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.64 : 1,691.52 = 397.56 : x
  2. Step 2: Convert to fraction form
    1,127.64/1,691.52 = 397.56/x
  3. Step 3: Cross multiply
    1,127.64x = 1,691.52 × 397.56
  4. Step 4: Simplify right side
    1,127.64x = 672,480.69
  5. Step 5: Solve for x
    x = 672,480.69/1,127.64
  6. Step 6: Final answer
    x = 596.36

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1.5x scale

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.