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Finding the Fourth Proportional to 820.95, 1,228.65 and 622.74

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Solution

The fourth proportional to 820.95, 1,228.65 and 622.74 is: 932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.95 : 1,228.65 = 622.74 : x
  2. Step 2: Convert to fraction form
    820.95/1,228.65 = 622.74/x
  3. Step 3: Cross multiply
    820.95x = 1,228.65 × 622.74
  4. Step 4: Simplify right side
    820.95x = 765,129.50
  5. Step 5: Solve for x
    x = 765,129.50/820.95
  6. Step 6: Final answer
    x = 932.00

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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.