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Finding the Fourth Proportional to 778.62, 1,167.90 and 316.38

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Solution

The fourth proportional to 778.62, 1,167.90 and 316.38 is: 474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.62 : 1,167.90 = 316.38 : x
  2. Step 2: Convert to fraction form
    778.62/1,167.90 = 316.38/x
  3. Step 3: Cross multiply
    778.62x = 1,167.90 × 316.38
  4. Step 4: Simplify right side
    778.62x = 369,500.20
  5. Step 5: Solve for x
    x = 369,500.20/778.62
  6. Step 6: Final answer
    x = 474.56

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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.