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Finding the Fourth Proportional to 959.74, 1,324.10 and 566.68

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Solution

The fourth proportional to 959.74, 1,324.10 and 566.68 is: 781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.74 : 1,324.10 = 566.68 : x
  2. Step 2: Convert to fraction form
    959.74/1,324.10 = 566.68/x
  3. Step 3: Cross multiply
    959.74x = 1,324.10 × 566.68
  4. Step 4: Simplify right side
    959.74x = 750,340.99
  5. Step 5: Solve for x
    x = 750,340.99/959.74
  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.