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Finding the Fourth Proportional to 892.59, 1,231.72 and 494.23

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Solution

The fourth proportional to 892.59, 1,231.72 and 494.23 is: 682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.59 : 1,231.72 = 494.23 : x
  2. Step 2: Convert to fraction form
    892.59/1,231.72 = 494.23/x
  3. Step 3: Cross multiply
    892.59x = 1,231.72 × 494.23
  4. Step 4: Simplify right side
    892.59x = 608,748.66
  5. Step 5: Solve for x
    x = 608,748.66/892.59
  6. Step 6: Final answer
    x = 682.00

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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.