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Finding the Fourth Proportional to 431.78, 648.14 and 380.75

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Solution

The fourth proportional to 431.78, 648.14 and 380.75 is: 571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.78 : 648.14 = 380.75 : x
  2. Step 2: Convert to fraction form
    431.78/648.14 = 380.75/x
  3. Step 3: Cross multiply
    431.78x = 648.14 × 380.75
  4. Step 4: Simplify right side
    431.78x = 246,774.16
  5. Step 5: Solve for x
    x = 246,774.16/431.78
  6. Step 6: Final answer
    x = 571.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.