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Finding the Fourth Proportional to 1,226.14, 1,691.96 and 695.12

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Solution

The fourth proportional to 1,226.14, 1,691.96 and 695.12 is: 959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.14 : 1,691.96 = 695.12 : x
  2. Step 2: Convert to fraction form
    1,226.14/1,691.96 = 695.12/x
  3. Step 3: Cross multiply
    1,226.14x = 1,691.96 × 695.12
  4. Step 4: Simplify right side
    1,226.14x = 1,176,103.30
  5. Step 5: Solve for x
    x = 1,176,103.30/1,226.14
  6. Step 6: Final answer
    x = 959.19

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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.