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Finding the Fourth Proportional to 968.80, 1,335.96 and 862.13

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Solution

The fourth proportional to 968.80, 1,335.96 and 862.13 is: 1,188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.80 : 1,335.96 = 862.13 : x
  2. Step 2: Convert to fraction form
    968.80/1,335.96 = 862.13/x
  3. Step 3: Cross multiply
    968.80x = 1,335.96 × 862.13
  4. Step 4: Simplify right side
    968.80x = 1,151,771.19
  5. Step 5: Solve for x
    x = 1,151,771.19/968.80
  6. Step 6: Final answer
    x = 1,188.86

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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.