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Finding the Fourth Proportional to 809.38, 1,215.13 and 480.92

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Solution

The fourth proportional to 809.38, 1,215.13 and 480.92 is: 722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.38 : 1,215.13 = 480.92 : x
  2. Step 2: Convert to fraction form
    809.38/1,215.13 = 480.92/x
  3. Step 3: Cross multiply
    809.38x = 1,215.13 × 480.92
  4. Step 4: Simplify right side
    809.38x = 584,380.32
  5. Step 5: Solve for x
    x = 584,380.32/809.38
  6. Step 6: Final answer
    x = 722.01

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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.