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Finding the Fourth Proportional to 622.32, 932.22 and 296.70

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Solution

The fourth proportional to 622.32, 932.22 and 296.70 is: 444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.32 : 932.22 = 296.70 : x
  2. Step 2: Convert to fraction form
    622.32/932.22 = 296.70/x
  3. Step 3: Cross multiply
    622.32x = 932.22 × 296.70
  4. Step 4: Simplify right side
    622.32x = 276,589.67
  5. Step 5: Solve for x
    x = 276,589.67/622.32
  6. Step 6: Final answer
    x = 444.45

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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.