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Finding the Fourth Proportional to 613.62, 922.46 and 476.73

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Solution

The fourth proportional to 613.62, 922.46 and 476.73 is: 716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.62 : 922.46 = 476.73 : x
  2. Step 2: Convert to fraction form
    613.62/922.46 = 476.73/x
  3. Step 3: Cross multiply
    613.62x = 922.46 × 476.73
  4. Step 4: Simplify right side
    613.62x = 439,761.97
  5. Step 5: Solve for x
    x = 439,761.97/613.62
  6. Step 6: Final answer
    x = 716.67

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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.