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Finding the Fourth Proportional to 1,444.39, 2,166.78 and 519.76

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Solution

The fourth proportional to 1,444.39, 2,166.78 and 519.76 is: 779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.39 : 2,166.78 = 519.76 : x
  2. Step 2: Convert to fraction form
    1,444.39/2,166.78 = 519.76/x
  3. Step 3: Cross multiply
    1,444.39x = 2,166.78 × 519.76
  4. Step 4: Simplify right side
    1,444.39x = 1,126,205.57
  5. Step 5: Solve for x
    x = 1,126,205.57/1,444.39
  6. Step 6: Final answer
    x = 779.71

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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.