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Finding the Fourth Proportional to 439.95, 657.06 and 398.73

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Solution

The fourth proportional to 439.95, 657.06 and 398.73 is: 595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.95 : 657.06 = 398.73 : x
  2. Step 2: Convert to fraction form
    439.95/657.06 = 398.73/x
  3. Step 3: Cross multiply
    439.95x = 657.06 × 398.73
  4. Step 4: Simplify right side
    439.95x = 261,989.53
  5. Step 5: Solve for x
    x = 261,989.53/439.95
  6. Step 6: Final answer
    x = 595.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.