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Finding the Fourth Proportional to 819.25, 1,228.01 and 558.61

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Solution

The fourth proportional to 819.25, 1,228.01 and 558.61 is: 837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.25 : 1,228.01 = 558.61 : x
  2. Step 2: Convert to fraction form
    819.25/1,228.01 = 558.61/x
  3. Step 3: Cross multiply
    819.25x = 1,228.01 × 558.61
  4. Step 4: Simplify right side
    819.25x = 685,978.04
  5. Step 5: Solve for x
    x = 685,978.04/819.25
  6. Step 6: Final answer
    x = 837.32

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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.