Home / 1,116.33-1,540.68-929.49

Finding the Fourth Proportional to 1,116.33, 1,540.68 and 929.49

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Solution

The fourth proportional to 1,116.33, 1,540.68 and 929.49 is: 1,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.33 : 1,540.68 = 929.49 : x
  2. Step 2: Convert to fraction form
    1,116.33/1,540.68 = 929.49/x
  3. Step 3: Cross multiply
    1,116.33x = 1,540.68 × 929.49
  4. Step 4: Simplify right side
    1,116.33x = 1,432,046.65
  5. Step 5: Solve for x
    x = 1,432,046.65/1,116.33
  6. Step 6: Final answer
    x = 1,282.82

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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.