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Finding the Fourth Proportional to 628.32, 943.09 and 385.32

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Solution

The fourth proportional to 628.32, 943.09 and 385.32 is: 578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.32 : 943.09 = 385.32 : x
  2. Step 2: Convert to fraction form
    628.32/943.09 = 385.32/x
  3. Step 3: Cross multiply
    628.32x = 943.09 × 385.32
  4. Step 4: Simplify right side
    628.32x = 363,391.44
  5. Step 5: Solve for x
    x = 363,391.44/628.32
  6. Step 6: Final answer
    x = 578.35

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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.