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Finding the Fourth Proportional to 892.79, 1,337.84 and 661.31

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Solution

The fourth proportional to 892.79, 1,337.84 and 661.31 is: 990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.79 : 1,337.84 = 661.31 : x
  2. Step 2: Convert to fraction form
    892.79/1,337.84 = 661.31/x
  3. Step 3: Cross multiply
    892.79x = 1,337.84 × 661.31
  4. Step 4: Simplify right side
    892.79x = 884,723.66
  5. Step 5: Solve for x
    x = 884,723.66/892.79
  6. Step 6: Final answer
    x = 990.97

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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.