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Finding the Fourth Proportional to 622.74, 934.72 and 475.12

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Solution

The fourth proportional to 622.74, 934.72 and 475.12 is: 713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.74 : 934.72 = 475.12 : x
  2. Step 2: Convert to fraction form
    622.74/934.72 = 475.12/x
  3. Step 3: Cross multiply
    622.74x = 934.72 × 475.12
  4. Step 4: Simplify right side
    622.74x = 444,099.49
  5. Step 5: Solve for x
    x = 444,099.49/622.74
  6. Step 6: Final answer
    x = 713.14

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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.