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Finding the Fourth Proportional to 961.28, 1,326.48 and 699.68

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Solution

The fourth proportional to 961.28, 1,326.48 and 699.68 is: 965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.28 : 1,326.48 = 699.68 : x
  2. Step 2: Convert to fraction form
    961.28/1,326.48 = 699.68/x
  3. Step 3: Cross multiply
    961.28x = 1,326.48 × 699.68
  4. Step 4: Simplify right side
    961.28x = 928,111.53
  5. Step 5: Solve for x
    x = 928,111.53/961.28
  6. Step 6: Final answer
    x = 965.50

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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.