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Finding the Fourth Proportional to 959.82, 1,321.29 and 861.54

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Solution

The fourth proportional to 959.82, 1,321.29 and 861.54 is: 1,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.82 : 1,321.29 = 861.54 : x
  2. Step 2: Convert to fraction form
    959.82/1,321.29 = 861.54/x
  3. Step 3: Cross multiply
    959.82x = 1,321.29 × 861.54
  4. Step 4: Simplify right side
    959.82x = 1,138,344.19
  5. Step 5: Solve for x
    x = 1,138,344.19/959.82
  6. Step 6: Final answer
    x = 1,186.00

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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.