Home / 1,356.25-2,034.33-431.86

Finding the Fourth Proportional to 1,356.25, 2,034.33 and 431.86

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Solution

The fourth proportional to 1,356.25, 2,034.33 and 431.86 is: 647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.25 : 2,034.33 = 431.86 : x
  2. Step 2: Convert to fraction form
    1,356.25/2,034.33 = 431.86/x
  3. Step 3: Cross multiply
    1,356.25x = 2,034.33 × 431.86
  4. Step 4: Simplify right side
    1,356.25x = 878,545.75
  5. Step 5: Solve for x
    x = 878,545.75/1,356.25
  6. Step 6: Final answer
    x = 647.78

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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.