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Finding the Fourth Proportional to 598.70, 898.04 and 326.52

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Solution

The fourth proportional to 598.70, 898.04 and 326.52 is: 489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.70 : 898.04 = 326.52 : x
  2. Step 2: Convert to fraction form
    598.70/898.04 = 326.52/x
  3. Step 3: Cross multiply
    598.70x = 898.04 × 326.52
  4. Step 4: Simplify right side
    598.70x = 293,226.39
  5. Step 5: Solve for x
    x = 293,226.39/598.70
  6. Step 6: Final answer
    x = 489.78

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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.