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Finding the Fourth Proportional to 826.05, 1,239.32 and 339.11

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Solution

The fourth proportional to 826.05, 1,239.32 and 339.11 is: 508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.05 : 1,239.32 = 339.11 : x
  2. Step 2: Convert to fraction form
    826.05/1,239.32 = 339.11/x
  3. Step 3: Cross multiply
    826.05x = 1,239.32 × 339.11
  4. Step 4: Simplify right side
    826.05x = 420,265.81
  5. Step 5: Solve for x
    x = 420,265.81/826.05
  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.