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Finding the Fourth Proportional to 475.73, 713.29 and 146.55

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Solution

The fourth proportional to 475.73, 713.29 and 146.55 is: 219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.73 : 713.29 = 146.55 : x
  2. Step 2: Convert to fraction form
    475.73/713.29 = 146.55/x
  3. Step 3: Cross multiply
    475.73x = 713.29 × 146.55
  4. Step 4: Simplify right side
    475.73x = 104,532.28
  5. Step 5: Solve for x
    x = 104,532.28/475.73
  6. Step 6: Final answer
    x = 219.73

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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.