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Finding the Fourth Proportional to 819.05, 1,228.59 and 456.15

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Solution

The fourth proportional to 819.05, 1,228.59 and 456.15 is: 684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.05 : 1,228.59 = 456.15 : x
  2. Step 2: Convert to fraction form
    819.05/1,228.59 = 456.15/x
  3. Step 3: Cross multiply
    819.05x = 1,228.59 × 456.15
  4. Step 4: Simplify right side
    819.05x = 560,419.40
  5. Step 5: Solve for x
    x = 560,419.40/819.05
  6. Step 6: Final answer
    x = 684.23

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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.