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Finding the Fourth Proportional to 1,456.68, 2,183.71 and 531.59

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Solution

The fourth proportional to 1,456.68, 2,183.71 and 531.59 is: 796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.68 : 2,183.71 = 531.59 : x
  2. Step 2: Convert to fraction form
    1,456.68/2,183.71 = 531.59/x
  3. Step 3: Cross multiply
    1,456.68x = 2,183.71 × 531.59
  4. Step 4: Simplify right side
    1,456.68x = 1,160,833.29
  5. Step 5: Solve for x
    x = 1,160,833.29/1,456.68
  6. Step 6: Final answer
    x = 796.90

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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.