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Finding the Fourth Proportional to 819.76, 1,131.30 and 488.38

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Solution

The fourth proportional to 819.76, 1,131.30 and 488.38 is: 673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.76 : 1,131.30 = 488.38 : x
  2. Step 2: Convert to fraction form
    819.76/1,131.30 = 488.38/x
  3. Step 3: Cross multiply
    819.76x = 1,131.30 × 488.38
  4. Step 4: Simplify right side
    819.76x = 552,504.29
  5. Step 5: Solve for x
    x = 552,504.29/819.76
  6. Step 6: Final answer
    x = 673.98

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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.