Home / 1,226.39-1,691.28-946.18

Finding the Fourth Proportional to 1,226.39, 1,691.28 and 946.18

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Solution

The fourth proportional to 1,226.39, 1,691.28 and 946.18 is: 1,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.39 : 1,691.28 = 946.18 : x
  2. Step 2: Convert to fraction form
    1,226.39/1,691.28 = 946.18/x
  3. Step 3: Cross multiply
    1,226.39x = 1,691.28 × 946.18
  4. Step 4: Simplify right side
    1,226.39x = 1,600,257.42
  5. Step 5: Solve for x
    x = 1,600,257.42/1,226.39
  6. Step 6: Final answer
    x = 1,304.85

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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.