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Finding the Fourth Proportional to 598.68, 897.98 and 321.12

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Solution

The fourth proportional to 598.68, 897.98 and 321.12 is: 481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.68 : 897.98 = 321.12 : x
  2. Step 2: Convert to fraction form
    598.68/897.98 = 321.12/x
  3. Step 3: Cross multiply
    598.68x = 897.98 × 321.12
  4. Step 4: Simplify right side
    598.68x = 288,357.73
  5. Step 5: Solve for x
    x = 288,357.73/598.68
  6. Step 6: Final answer
    x = 481.66

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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.