Home / 1,149.29-1,724.30-491.13

Finding the Fourth Proportional to 1,149.29, 1,724.30 and 491.13

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Solution

The fourth proportional to 1,149.29, 1,724.30 and 491.13 is: 736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.29 : 1,724.30 = 491.13 : x
  2. Step 2: Convert to fraction form
    1,149.29/1,724.30 = 491.13/x
  3. Step 3: Cross multiply
    1,149.29x = 1,724.30 × 491.13
  4. Step 4: Simplify right side
    1,149.29x = 846,853.00
  5. Step 5: Solve for x
    x = 846,853.00/1,149.29
  6. Step 6: Final answer
    x = 736.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.