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Finding the Fourth Proportional to 778.52, 1,072.46 and 654.18

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Solution

The fourth proportional to 778.52, 1,072.46 and 654.18 is: 901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.52 : 1,072.46 = 654.18 : x
  2. Step 2: Convert to fraction form
    778.52/1,072.46 = 654.18/x
  3. Step 3: Cross multiply
    778.52x = 1,072.46 × 654.18
  4. Step 4: Simplify right side
    778.52x = 701,578.61
  5. Step 5: Solve for x
    x = 701,578.61/778.52
  6. Step 6: Final answer
    x = 901.18

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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.