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Finding the Fourth Proportional to 809.41, 1,215.13 and 688.44

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Solution

The fourth proportional to 809.41, 1,215.13 and 688.44 is: 1,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.41 : 1,215.13 = 688.44 : x
  2. Step 2: Convert to fraction form
    809.41/1,215.13 = 688.44/x
  3. Step 3: Cross multiply
    809.41x = 1,215.13 × 688.44
  4. Step 4: Simplify right side
    809.41x = 836,541.06
  5. Step 5: Solve for x
    x = 836,541.06/809.41
  6. Step 6: Final answer
    x = 1,033.52

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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.