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Finding the Fourth Proportional to 778.23, 1,073.43 and 463.25

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Solution

The fourth proportional to 778.23, 1,073.43 and 463.25 is: 638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.23 : 1,073.43 = 463.25 : x
  2. Step 2: Convert to fraction form
    778.23/1,073.43 = 463.25/x
  3. Step 3: Cross multiply
    778.23x = 1,073.43 × 463.25
  4. Step 4: Simplify right side
    778.23x = 497,269.13
  5. Step 5: Solve for x
    x = 497,269.13/778.23
  6. Step 6: Final answer
    x = 638.97

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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.