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Finding the Fourth Proportional to 474.75, 715.79 and 379.71

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Solution

The fourth proportional to 474.75, 715.79 and 379.71 is: 572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.75 : 715.79 = 379.71 : x
  2. Step 2: Convert to fraction form
    474.75/715.79 = 379.71/x
  3. Step 3: Cross multiply
    474.75x = 715.79 × 379.71
  4. Step 4: Simplify right side
    474.75x = 271,793.57
  5. Step 5: Solve for x
    x = 271,793.57/474.75
  6. Step 6: Final answer
    x = 572.50

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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.