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Finding the Fourth Proportional to 892.28, 1,337.16 and 659.33

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Solution

The fourth proportional to 892.28, 1,337.16 and 659.33 is: 988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.28 : 1,337.16 = 659.33 : x
  2. Step 2: Convert to fraction form
    892.28/1,337.16 = 659.33/x
  3. Step 3: Cross multiply
    892.28x = 1,337.16 × 659.33
  4. Step 4: Simplify right side
    892.28x = 881,629.70
  5. Step 5: Solve for x
    x = 881,629.70/892.28
  6. Step 6: Final answer
    x = 988.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.