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Finding the Fourth Proportional to 559.31, 838.44 and 339.39

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Solution

The fourth proportional to 559.31, 838.44 and 339.39 is: 508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.31 : 838.44 = 339.39 : x
  2. Step 2: Convert to fraction form
    559.31/838.44 = 339.39/x
  3. Step 3: Cross multiply
    559.31x = 838.44 × 339.39
  4. Step 4: Simplify right side
    559.31x = 284,558.15
  5. Step 5: Solve for x
    x = 284,558.15/559.31
  6. Step 6: Final answer
    x = 508.77

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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.