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Finding the Fourth Proportional to 889.28, 1,229.28 and 681.92

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Solution

The fourth proportional to 889.28, 1,229.28 and 681.92 is: 942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.28 : 1,229.28 = 681.92 : x
  2. Step 2: Convert to fraction form
    889.28/1,229.28 = 681.92/x
  3. Step 3: Cross multiply
    889.28x = 1,229.28 × 681.92
  4. Step 4: Simplify right side
    889.28x = 838,270.62
  5. Step 5: Solve for x
    x = 838,270.62/889.28
  6. Step 6: Final answer
    x = 942.64

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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.