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Finding the Fourth Proportional to 819.50, 1,131.35 and 554.36

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Solution

The fourth proportional to 819.50, 1,131.35 and 554.36 is: 765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.50 : 1,131.35 = 554.36 : x
  2. Step 2: Convert to fraction form
    819.50/1,131.35 = 554.36/x
  3. Step 3: Cross multiply
    819.50x = 1,131.35 × 554.36
  4. Step 4: Simplify right side
    819.50x = 627,166.76
  5. Step 5: Solve for x
    x = 627,166.76/819.50
  6. Step 6: Final answer
    x = 765.31

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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.