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Finding the Fourth Proportional to 475.50, 716.92 and 380.46

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Solution

The fourth proportional to 475.50, 716.92 and 380.46 is: 573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.50 : 716.92 = 380.46 : x
  2. Step 2: Convert to fraction form
    475.50/716.92 = 380.46/x
  3. Step 3: Cross multiply
    475.50x = 716.92 × 380.46
  4. Step 4: Simplify right side
    475.50x = 272,759.38
  5. Step 5: Solve for x
    x = 272,759.38/475.50
  6. Step 6: Final answer
    x = 573.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.