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Finding the Fourth Proportional to 809.38, 1,214.67 and 601.62

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Solution

The fourth proportional to 809.38, 1,214.67 and 601.62 is: 902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.38 : 1,214.67 = 601.62 : x
  2. Step 2: Convert to fraction form
    809.38/1,214.67 = 601.62/x
  3. Step 3: Cross multiply
    809.38x = 1,214.67 × 601.62
  4. Step 4: Simplify right side
    809.38x = 730,766.76
  5. Step 5: Solve for x
    x = 730,766.76/809.38
  6. Step 6: Final answer
    x = 902.88

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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.