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Finding the Fourth Proportional to 431.46, 649.62 and 380.42

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Solution

The fourth proportional to 431.46, 649.62 and 380.42 is: 572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.46 : 649.62 = 380.42 : x
  2. Step 2: Convert to fraction form
    431.46/649.62 = 380.42/x
  3. Step 3: Cross multiply
    431.46x = 649.62 × 380.42
  4. Step 4: Simplify right side
    431.46x = 247,128.44
  5. Step 5: Solve for x
    x = 247,128.44/431.46
  6. Step 6: Final answer
    x = 572.77

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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.