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Finding the Fourth Proportional to 778.38, 1,073.79 and 463.50

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Solution

The fourth proportional to 778.38, 1,073.79 and 463.50 is: 639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.38 : 1,073.79 = 463.50 : x
  2. Step 2: Convert to fraction form
    778.38/1,073.79 = 463.50/x
  3. Step 3: Cross multiply
    778.38x = 1,073.79 × 463.50
  4. Step 4: Simplify right side
    778.38x = 497,701.67
  5. Step 5: Solve for x
    x = 497,701.67/778.38
  6. Step 6: Final answer
    x = 639.41

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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.