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Finding the Fourth Proportional to 819.19, 1,227.61 and 610.01

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Solution

The fourth proportional to 819.19, 1,227.61 and 610.01 is: 914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.19 : 1,227.61 = 610.01 : x
  2. Step 2: Convert to fraction form
    819.19/1,227.61 = 610.01/x
  3. Step 3: Cross multiply
    819.19x = 1,227.61 × 610.01
  4. Step 4: Simplify right side
    819.19x = 748,845.19
  5. Step 5: Solve for x
    x = 748,845.19/819.19
  6. Step 6: Final answer
    x = 914.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.