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Finding the Fourth Proportional to 892.69, 1,231.89 and 494.33

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Solution

The fourth proportional to 892.69, 1,231.89 and 494.33 is: 682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.69 : 1,231.89 = 494.33 : x
  2. Step 2: Convert to fraction form
    892.69/1,231.89 = 494.33/x
  3. Step 3: Cross multiply
    892.69x = 1,231.89 × 494.33
  4. Step 4: Simplify right side
    892.69x = 608,959.57
  5. Step 5: Solve for x
    x = 608,959.57/892.69
  6. Step 6: Final answer
    x = 682.16

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Double scale
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1.5x scale

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.