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Finding the Fourth Proportional to 700.27, 967.05 and 634.66

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Solution

The fourth proportional to 700.27, 967.05 and 634.66 is: 876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.27 : 967.05 = 634.66 : x
  2. Step 2: Convert to fraction form
    700.27/967.05 = 634.66/x
  3. Step 3: Cross multiply
    700.27x = 967.05 × 634.66
  4. Step 4: Simplify right side
    700.27x = 613,743.12
  5. Step 5: Solve for x
    x = 613,743.12/700.27
  6. Step 6: Final answer
    x = 876.44

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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.