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Finding the Fourth Proportional to 622.60, 934.08 and 189.88

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Solution

The fourth proportional to 622.60, 934.08 and 189.88 is: 284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.60 : 934.08 = 189.88 : x
  2. Step 2: Convert to fraction form
    622.60/934.08 = 189.88/x
  3. Step 3: Cross multiply
    622.60x = 934.08 × 189.88
  4. Step 4: Simplify right side
    622.60x = 177,363.11
  5. Step 5: Solve for x
    x = 177,363.11/622.60
  6. Step 6: Final answer
    x = 284.87

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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.