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Finding the Fourth Proportional to 702.69, 967.59 and 636.78

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Solution

The fourth proportional to 702.69, 967.59 and 636.78 is: 876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.69 : 967.59 = 636.78 : x
  2. Step 2: Convert to fraction form
    702.69/967.59 = 636.78/x
  3. Step 3: Cross multiply
    702.69x = 967.59 × 636.78
  4. Step 4: Simplify right side
    702.69x = 616,141.96
  5. Step 5: Solve for x
    x = 616,141.96/702.69
  6. Step 6: Final answer
    x = 876.83

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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.