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Finding the Fourth Proportional to 961.98, 1,326.65 and 713.92

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Solution

The fourth proportional to 961.98, 1,326.65 and 713.92 is: 984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.98 : 1,326.65 = 713.92 : x
  2. Step 2: Convert to fraction form
    961.98/1,326.65 = 713.92/x
  3. Step 3: Cross multiply
    961.98x = 1,326.65 × 713.92
  4. Step 4: Simplify right side
    961.98x = 947,115.08
  5. Step 5: Solve for x
    x = 947,115.08/961.98
  6. Step 6: Final answer
    x = 984.55

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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.