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Finding the Fourth Proportional to 1,244.98, 1,867.86 and 514.90

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Solution

The fourth proportional to 1,244.98, 1,867.86 and 514.90 is: 772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.98 : 1,867.86 = 514.90 : x
  2. Step 2: Convert to fraction form
    1,244.98/1,867.86 = 514.90/x
  3. Step 3: Cross multiply
    1,244.98x = 1,867.86 × 514.90
  4. Step 4: Simplify right side
    1,244.98x = 961,761.11
  5. Step 5: Solve for x
    x = 961,761.11/1,244.98
  6. Step 6: Final answer
    x = 772.51

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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.