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Finding the Fourth Proportional to 595.68, 891.98 and 321.86

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Solution

The fourth proportional to 595.68, 891.98 and 321.86 is: 481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.68 : 891.98 = 321.86 : x
  2. Step 2: Convert to fraction form
    595.68/891.98 = 321.86/x
  3. Step 3: Cross multiply
    595.68x = 891.98 × 321.86
  4. Step 4: Simplify right side
    595.68x = 287,086.61
  5. Step 5: Solve for x
    x = 287,086.61/595.68
  6. Step 6: Final answer
    x = 481.95

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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.