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Finding the Fourth Proportional to 819.41, 1,131.02 and 487.91

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Solution

The fourth proportional to 819.41, 1,131.02 and 487.91 is: 673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.41 : 1,131.02 = 487.91 : x
  2. Step 2: Convert to fraction form
    819.41/1,131.02 = 487.91/x
  3. Step 3: Cross multiply
    819.41x = 1,131.02 × 487.91
  4. Step 4: Simplify right side
    819.41x = 551,827.87
  5. Step 5: Solve for x
    x = 551,827.87/819.41
  6. Step 6: Final answer
    x = 673.45

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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.