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Finding the Fourth Proportional to 819.01, 1,225.95 and 790.48

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Solution

The fourth proportional to 819.01, 1,225.95 and 790.48 is: 1,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.01 : 1,225.95 = 790.48 : x
  2. Step 2: Convert to fraction form
    819.01/1,225.95 = 790.48/x
  3. Step 3: Cross multiply
    819.01x = 1,225.95 × 790.48
  4. Step 4: Simplify right side
    819.01x = 969,088.96
  5. Step 5: Solve for x
    x = 969,088.96/819.01
  6. Step 6: Final answer
    x = 1,183.24

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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.