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Finding the Fourth Proportional to 1,456.25, 2,183.96 and 634.91

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Solution

The fourth proportional to 1,456.25, 2,183.96 and 634.91 is: 952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.25 : 2,183.96 = 634.91 : x
  2. Step 2: Convert to fraction form
    1,456.25/2,183.96 = 634.91/x
  3. Step 3: Cross multiply
    1,456.25x = 2,183.96 × 634.91
  4. Step 4: Simplify right side
    1,456.25x = 1,386,608.71
  5. Step 5: Solve for x
    x = 1,386,608.71/1,456.25
  6. Step 6: Final answer
    x = 952.18

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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.