Home / 1,149.66-1,724.09-500.04

Finding the Fourth Proportional to 1,149.66, 1,724.09 and 500.04

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Solution

The fourth proportional to 1,149.66, 1,724.09 and 500.04 is: 749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.66 : 1,724.09 = 500.04 : x
  2. Step 2: Convert to fraction form
    1,149.66/1,724.09 = 500.04/x
  3. Step 3: Cross multiply
    1,149.66x = 1,724.09 × 500.04
  4. Step 4: Simplify right side
    1,149.66x = 862,111.46
  5. Step 5: Solve for x
    x = 862,111.46/1,149.66
  6. Step 6: Final answer
    x = 749.88

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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.