Home / 1,149.19-1,723.78-500.38

Finding the Fourth Proportional to 1,149.19, 1,723.78 and 500.38

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Solution

The fourth proportional to 1,149.19, 1,723.78 and 500.38 is: 750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.19 : 1,723.78 = 500.38 : x
  2. Step 2: Convert to fraction form
    1,149.19/1,723.78 = 500.38/x
  3. Step 3: Cross multiply
    1,149.19x = 1,723.78 × 500.38
  4. Step 4: Simplify right side
    1,149.19x = 862,541.35
  5. Step 5: Solve for x
    x = 862,541.35/1,149.19
  6. Step 6: Final answer
    x = 750.57

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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.