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Finding the Fourth Proportional to 778.82, 1,073.80 and 654.21

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Solution

The fourth proportional to 778.82, 1,073.80 and 654.21 is: 901.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.82 : 1,073.80 = 654.21 : x
  2. Step 2: Convert to fraction form
    778.82/1,073.80 = 654.21/x
  3. Step 3: Cross multiply
    778.82x = 1,073.80 × 654.21
  4. Step 4: Simplify right side
    778.82x = 702,490.70
  5. Step 5: Solve for x
    x = 702,490.70/778.82
  6. Step 6: Final answer
    x = 901.99

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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.