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Finding the Fourth Proportional to 826.31, 1,239.47 and 339.05

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Solution

The fourth proportional to 826.31, 1,239.47 and 339.05 is: 508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.31 : 1,239.47 = 339.05 : x
  2. Step 2: Convert to fraction form
    826.31/1,239.47 = 339.05/x
  3. Step 3: Cross multiply
    826.31x = 1,239.47 × 339.05
  4. Step 4: Simplify right side
    826.31x = 420,242.30
  5. Step 5: Solve for x
    x = 420,242.30/826.31
  6. Step 6: Final answer
    x = 508.58

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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.