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Finding the Fourth Proportional to 701.88, 966.78 and 649.98

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Solution

The fourth proportional to 701.88, 966.78 and 649.98 is: 895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.88 : 966.78 = 649.98 : x
  2. Step 2: Convert to fraction form
    701.88/966.78 = 649.98/x
  3. Step 3: Cross multiply
    701.88x = 966.78 × 649.98
  4. Step 4: Simplify right side
    701.88x = 628,387.66
  5. Step 5: Solve for x
    x = 628,387.66/701.88
  6. Step 6: Final answer
    x = 895.29

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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.