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Finding the Fourth Proportional to 475.75, 717.30 and 380.71

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Solution

The fourth proportional to 475.75, 717.30 and 380.71 is: 574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.75 : 717.30 = 380.71 : x
  2. Step 2: Convert to fraction form
    475.75/717.30 = 380.71/x
  3. Step 3: Cross multiply
    475.75x = 717.30 × 380.71
  4. Step 4: Simplify right side
    475.75x = 273,083.28
  5. Step 5: Solve for x
    x = 273,083.28/475.75
  6. Step 6: Final answer
    x = 574.01

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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.