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Finding the Fourth Proportional to 559.82, 838.11 and 342.74

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Solution

The fourth proportional to 559.82, 838.11 and 342.74 is: 513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.82 : 838.11 = 342.74 : x
  2. Step 2: Convert to fraction form
    559.82/838.11 = 342.74/x
  3. Step 3: Cross multiply
    559.82x = 838.11 × 342.74
  4. Step 4: Simplify right side
    559.82x = 287,253.82
  5. Step 5: Solve for x
    x = 287,253.82/559.82
  6. Step 6: Final answer
    x = 513.12

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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.