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Finding the Fourth Proportional to 627.92, 867.08 and 421.52

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Solution

The fourth proportional to 627.92, 867.08 and 421.52 is: 582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.92 : 867.08 = 421.52 : x
  2. Step 2: Convert to fraction form
    627.92/867.08 = 421.52/x
  3. Step 3: Cross multiply
    627.92x = 867.08 × 421.52
  4. Step 4: Simplify right side
    627.92x = 365,491.56
  5. Step 5: Solve for x
    x = 365,491.56/627.92
  6. Step 6: Final answer
    x = 582.07

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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.