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Finding the Fourth Proportional to 600.20, 898.34 and 325.61

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Solution

The fourth proportional to 600.20, 898.34 and 325.61 is: 487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.20 : 898.34 = 325.61 : x
  2. Step 2: Convert to fraction form
    600.20/898.34 = 325.61/x
  3. Step 3: Cross multiply
    600.20x = 898.34 × 325.61
  4. Step 4: Simplify right side
    600.20x = 292,502.37
  5. Step 5: Solve for x
    x = 292,502.37/600.20
  6. Step 6: Final answer
    x = 487.35

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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.