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Finding the Fourth Proportional to 778.34, 1,074.11 and 463.61

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Solution

The fourth proportional to 778.34, 1,074.11 and 463.61 is: 639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.34 : 1,074.11 = 463.61 : x
  2. Step 2: Convert to fraction form
    778.34/1,074.11 = 463.61/x
  3. Step 3: Cross multiply
    778.34x = 1,074.11 × 463.61
  4. Step 4: Simplify right side
    778.34x = 497,965.82
  5. Step 5: Solve for x
    x = 497,965.82/778.34
  6. Step 6: Final answer
    x = 639.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.