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Finding the Fourth Proportional to 701.98, 967.70 and 491.49

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Solution

The fourth proportional to 701.98, 967.70 and 491.49 is: 677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.98 : 967.70 = 491.49 : x
  2. Step 2: Convert to fraction form
    701.98/967.70 = 491.49/x
  3. Step 3: Cross multiply
    701.98x = 967.70 × 491.49
  4. Step 4: Simplify right side
    701.98x = 475,616.10
  5. Step 5: Solve for x
    x = 475,616.10/701.98
  6. Step 6: Final answer
    x = 677.54

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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.