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Finding the Fourth Proportional to 984.46, 1,357.47 and 961.78

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Solution

The fourth proportional to 984.46, 1,357.47 and 961.78 is: 1,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.46 : 1,357.47 = 961.78 : x
  2. Step 2: Convert to fraction form
    984.46/1,357.47 = 961.78/x
  3. Step 3: Cross multiply
    984.46x = 1,357.47 × 961.78
  4. Step 4: Simplify right side
    984.46x = 1,305,587.50
  5. Step 5: Solve for x
    x = 1,305,587.50/984.46
  6. Step 6: Final answer
    x = 1,326.20

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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.