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Finding the Fourth Proportional to 474.50, 715.42 and 379.46

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Solution

The fourth proportional to 474.50, 715.42 and 379.46 is: 572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.50 : 715.42 = 379.46 : x
  2. Step 2: Convert to fraction form
    474.50/715.42 = 379.46/x
  3. Step 3: Cross multiply
    474.50x = 715.42 × 379.46
  4. Step 4: Simplify right side
    474.50x = 271,471.38
  5. Step 5: Solve for x
    x = 271,471.38/474.50
  6. Step 6: Final answer
    x = 572.12

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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.