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Finding the Fourth Proportional to 961.86, 1,326.48 and 699.42

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Solution

The fourth proportional to 961.86, 1,326.48 and 699.42 is: 964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.86 : 1,326.48 = 699.42 : x
  2. Step 2: Convert to fraction form
    961.86/1,326.48 = 699.42/x
  3. Step 3: Cross multiply
    961.86x = 1,326.48 × 699.42
  4. Step 4: Simplify right side
    961.86x = 927,766.64
  5. Step 5: Solve for x
    x = 927,766.64/961.86
  6. Step 6: Final answer
    x = 964.55

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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.