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Finding the Fourth Proportional to 628.52, 944.14 and 385.20

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Solution

The fourth proportional to 628.52, 944.14 and 385.20 is: 578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.52 : 944.14 = 385.20 : x
  2. Step 2: Convert to fraction form
    628.52/944.14 = 385.20/x
  3. Step 3: Cross multiply
    628.52x = 944.14 × 385.20
  4. Step 4: Simplify right side
    628.52x = 363,682.73
  5. Step 5: Solve for x
    x = 363,682.73/628.52
  6. Step 6: Final answer
    x = 578.63

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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.