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Finding the Fourth Proportional to 628.62, 867.84 and 395.88

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Solution

The fourth proportional to 628.62, 867.84 and 395.88 is: 546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.62 : 867.84 = 395.88 : x
  2. Step 2: Convert to fraction form
    628.62/867.84 = 395.88/x
  3. Step 3: Cross multiply
    628.62x = 867.84 × 395.88
  4. Step 4: Simplify right side
    628.62x = 343,560.50
  5. Step 5: Solve for x
    x = 343,560.50/628.62
  6. Step 6: Final answer
    x = 546.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.