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Finding the Fourth Proportional to 1,778.97, 2,668.61 and 462.72

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Solution

The fourth proportional to 1,778.97, 2,668.61 and 462.72 is: 694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.97 : 2,668.61 = 462.72 : x
  2. Step 2: Convert to fraction form
    1,778.97/2,668.61 = 462.72/x
  3. Step 3: Cross multiply
    1,778.97x = 2,668.61 × 462.72
  4. Step 4: Simplify right side
    1,778.97x = 1,234,819.22
  5. Step 5: Solve for x
    x = 1,234,819.22/1,778.97
  6. Step 6: Final answer
    x = 694.12

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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.