Home / 1,149.27-1,724.31-500.46

Finding the Fourth Proportional to 1,149.27, 1,724.31 and 500.46

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Solution

The fourth proportional to 1,149.27, 1,724.31 and 500.46 is: 750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.27 : 1,724.31 = 500.46 : x
  2. Step 2: Convert to fraction form
    1,149.27/1,724.31 = 500.46/x
  3. Step 3: Cross multiply
    1,149.27x = 1,724.31 × 500.46
  4. Step 4: Simplify right side
    1,149.27x = 862,948.18
  5. Step 5: Solve for x
    x = 862,948.18/1,149.27
  6. Step 6: Final answer
    x = 750.87

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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.