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Finding the Fourth Proportional to 1,226.17, 1,691.72 and 760.69

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Solution

The fourth proportional to 1,226.17, 1,691.72 and 760.69 is: 1,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.17 : 1,691.72 = 760.69 : x
  2. Step 2: Convert to fraction form
    1,226.17/1,691.72 = 760.69/x
  3. Step 3: Cross multiply
    1,226.17x = 1,691.72 × 760.69
  4. Step 4: Simplify right side
    1,226.17x = 1,286,870.26
  5. Step 5: Solve for x
    x = 1,286,870.26/1,226.17
  6. Step 6: Final answer
    x = 1,049.51

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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.