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Finding the Fourth Proportional to 1,134.10, 1,565.12 and 691.88

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Solution

The fourth proportional to 1,134.10, 1,565.12 and 691.88 is: 954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.10 : 1,565.12 = 691.88 : x
  2. Step 2: Convert to fraction form
    1,134.10/1,565.12 = 691.88/x
  3. Step 3: Cross multiply
    1,134.10x = 1,565.12 × 691.88
  4. Step 4: Simplify right side
    1,134.10x = 1,082,869.13
  5. Step 5: Solve for x
    x = 1,082,869.13/1,134.10
  6. Step 6: Final answer
    x = 954.83

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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.