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Finding the Fourth Proportional to 1,127.44, 1,691.36 and 397.24

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Solution

The fourth proportional to 1,127.44, 1,691.36 and 397.24 is: 595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.44 : 1,691.36 = 397.24 : x
  2. Step 2: Convert to fraction form
    1,127.44/1,691.36 = 397.24/x
  3. Step 3: Cross multiply
    1,127.44x = 1,691.36 × 397.24
  4. Step 4: Simplify right side
    1,127.44x = 671,875.85
  5. Step 5: Solve for x
    x = 671,875.85/1,127.44
  6. Step 6: Final answer
    x = 595.93

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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.