Home / 1,109.12-1,529.16-759.20

Finding the Fourth Proportional to 1,109.12, 1,529.16 and 759.20

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Solution

The fourth proportional to 1,109.12, 1,529.16 and 759.20 is: 1,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.12 : 1,529.16 = 759.20 : x
  2. Step 2: Convert to fraction form
    1,109.12/1,529.16 = 759.20/x
  3. Step 3: Cross multiply
    1,109.12x = 1,529.16 × 759.20
  4. Step 4: Simplify right side
    1,109.12x = 1,160,938.27
  5. Step 5: Solve for x
    x = 1,160,938.27/1,109.12
  6. Step 6: Final answer
    x = 1,046.72

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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.