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Finding the Fourth Proportional to 961.83, 1,327.86 and 772.29

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Solution

The fourth proportional to 961.83, 1,327.86 and 772.29 is: 1,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.83 : 1,327.86 = 772.29 : x
  2. Step 2: Convert to fraction form
    961.83/1,327.86 = 772.29/x
  3. Step 3: Cross multiply
    961.83x = 1,327.86 × 772.29
  4. Step 4: Simplify right side
    961.83x = 1,025,493.00
  5. Step 5: Solve for x
    x = 1,025,493.00/961.83
  6. Step 6: Final answer
    x = 1,066.19

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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.