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Finding the Fourth Proportional to 961.71, 1,327.94 and 784.70

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Solution

The fourth proportional to 961.71, 1,327.94 and 784.70 is: 1,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.71 : 1,327.94 = 784.70 : x
  2. Step 2: Convert to fraction form
    961.71/1,327.94 = 784.70/x
  3. Step 3: Cross multiply
    961.71x = 1,327.94 × 784.70
  4. Step 4: Simplify right side
    961.71x = 1,042,023.95
  5. Step 5: Solve for x
    x = 1,042,023.95/961.71
  6. Step 6: Final answer
    x = 1,083.51

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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.