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Finding the Fourth Proportional to 819.57, 1,131.11 and 470.25

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Solution

The fourth proportional to 819.57, 1,131.11 and 470.25 is: 649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.57 : 1,131.11 = 470.25 : x
  2. Step 2: Convert to fraction form
    819.57/1,131.11 = 470.25/x
  3. Step 3: Cross multiply
    819.57x = 1,131.11 × 470.25
  4. Step 4: Simplify right side
    819.57x = 531,902.13
  5. Step 5: Solve for x
    x = 531,902.13/819.57
  6. Step 6: Final answer
    x = 649.00

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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.