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Finding the Fourth Proportional to 1,127.46, 1,691.97 and 397.04

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Solution

The fourth proportional to 1,127.46, 1,691.97 and 397.04 is: 595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.46 : 1,691.97 = 397.04 : x
  2. Step 2: Convert to fraction form
    1,127.46/1,691.97 = 397.04/x
  3. Step 3: Cross multiply
    1,127.46x = 1,691.97 × 397.04
  4. Step 4: Simplify right side
    1,127.46x = 671,779.77
  5. Step 5: Solve for x
    x = 671,779.77/1,127.46
  6. Step 6: Final answer
    x = 595.83

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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.