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Finding the Fourth Proportional to 822.10, 1,229.55 and 627.70

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Solution

The fourth proportional to 822.10, 1,229.55 and 627.70 is: 938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.10 : 1,229.55 = 627.70 : x
  2. Step 2: Convert to fraction form
    822.10/1,229.55 = 627.70/x
  3. Step 3: Cross multiply
    822.10x = 1,229.55 × 627.70
  4. Step 4: Simplify right side
    822.10x = 771,788.54
  5. Step 5: Solve for x
    x = 771,788.54/822.10
  6. Step 6: Final answer
    x = 938.80

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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.