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Finding the Fourth Proportional to 559.10, 838.35 and 298.49

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Solution

The fourth proportional to 559.10, 838.35 and 298.49 is: 447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.10 : 838.35 = 298.49 : x
  2. Step 2: Convert to fraction form
    559.10/838.35 = 298.49/x
  3. Step 3: Cross multiply
    559.10x = 838.35 × 298.49
  4. Step 4: Simplify right side
    559.10x = 250,234.90
  5. Step 5: Solve for x
    x = 250,234.90/559.10
  6. Step 6: Final answer
    x = 447.57

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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.