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Finding the Fourth Proportional to 959.67, 1,324.11 and 566.64

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Solution

The fourth proportional to 959.67, 1,324.11 and 566.64 is: 781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.67 : 1,324.11 = 566.64 : x
  2. Step 2: Convert to fraction form
    959.67/1,324.11 = 566.64/x
  3. Step 3: Cross multiply
    959.67x = 1,324.11 × 566.64
  4. Step 4: Simplify right side
    959.67x = 750,293.69
  5. Step 5: Solve for x
    x = 750,293.69/959.67
  6. Step 6: Final answer
    x = 781.82

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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.