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Finding the Fourth Proportional to 968.76, 1,327.29 and 956.61

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Solution

The fourth proportional to 968.76, 1,327.29 and 956.61 is: 1,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.76 : 1,327.29 = 956.61 : x
  2. Step 2: Convert to fraction form
    968.76/1,327.29 = 956.61/x
  3. Step 3: Cross multiply
    968.76x = 1,327.29 × 956.61
  4. Step 4: Simplify right side
    968.76x = 1,269,695.30
  5. Step 5: Solve for x
    x = 1,269,695.30/968.76
  6. Step 6: Final answer
    x = 1,310.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.