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Finding the Fourth Proportional to 819.75, 1,131.48 and 554.57

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Solution

The fourth proportional to 819.75, 1,131.48 and 554.57 is: 765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.75 : 1,131.48 = 554.57 : x
  2. Step 2: Convert to fraction form
    819.75/1,131.48 = 554.57/x
  3. Step 3: Cross multiply
    819.75x = 1,131.48 × 554.57
  4. Step 4: Simplify right side
    819.75x = 627,479.21
  5. Step 5: Solve for x
    x = 627,479.21/819.75
  6. Step 6: Final answer
    x = 765.45

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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.