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Finding the Fourth Proportional to 628.52, 867.36 and 395.50

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Solution

The fourth proportional to 628.52, 867.36 and 395.50 is: 545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.52 : 867.36 = 395.50 : x
  2. Step 2: Convert to fraction form
    628.52/867.36 = 395.50/x
  3. Step 3: Cross multiply
    628.52x = 867.36 × 395.50
  4. Step 4: Simplify right side
    628.52x = 343,040.88
  5. Step 5: Solve for x
    x = 343,040.88/628.52
  6. Step 6: Final answer
    x = 545.79

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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.