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Finding the Fourth Proportional to 559.38, 838.64 and 342.70

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Solution

The fourth proportional to 559.38, 838.64 and 342.70 is: 513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.38 : 838.64 = 342.70 : x
  2. Step 2: Convert to fraction form
    559.38/838.64 = 342.70/x
  3. Step 3: Cross multiply
    559.38x = 838.64 × 342.70
  4. Step 4: Simplify right side
    559.38x = 287,401.93
  5. Step 5: Solve for x
    x = 287,401.93/559.38
  6. Step 6: Final answer
    x = 513.79

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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.