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Finding the Fourth Proportional to 892.40, 1,231.55 and 494.11

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Solution

The fourth proportional to 892.40, 1,231.55 and 494.11 is: 681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.40 : 1,231.55 = 494.11 : x
  2. Step 2: Convert to fraction form
    892.40/1,231.55 = 494.11/x
  3. Step 3: Cross multiply
    892.40x = 1,231.55 × 494.11
  4. Step 4: Simplify right side
    892.40x = 608,521.17
  5. Step 5: Solve for x
    x = 608,521.17/892.40
  6. Step 6: Final answer
    x = 681.89

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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.