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Finding the Fourth Proportional to 439.06, 603.05 and 411.95

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Solution

The fourth proportional to 439.06, 603.05 and 411.95 is: 565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.06 : 603.05 = 411.95 : x
  2. Step 2: Convert to fraction form
    439.06/603.05 = 411.95/x
  3. Step 3: Cross multiply
    439.06x = 603.05 × 411.95
  4. Step 4: Simplify right side
    439.06x = 248,425.90
  5. Step 5: Solve for x
    x = 248,425.90/439.06
  6. Step 6: Final answer
    x = 565.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.