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Finding the Fourth Proportional to 778.41, 1,164.89 and 637.97

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Solution

The fourth proportional to 778.41, 1,164.89 and 637.97 is: 954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.41 : 1,164.89 = 637.97 : x
  2. Step 2: Convert to fraction form
    778.41/1,164.89 = 637.97/x
  3. Step 3: Cross multiply
    778.41x = 1,164.89 × 637.97
  4. Step 4: Simplify right side
    778.41x = 743,160.64
  5. Step 5: Solve for x
    x = 743,160.64/778.41
  6. Step 6: Final answer
    x = 954.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.