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Finding the Fourth Proportional to 826.87, 1,239.23 and 339.66

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Solution

The fourth proportional to 826.87, 1,239.23 and 339.66 is: 509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.87 : 1,239.23 = 339.66 : x
  2. Step 2: Convert to fraction form
    826.87/1,239.23 = 339.66/x
  3. Step 3: Cross multiply
    826.87x = 1,239.23 × 339.66
  4. Step 4: Simplify right side
    826.87x = 420,916.86
  5. Step 5: Solve for x
    x = 420,916.86/826.87
  6. Step 6: Final answer
    x = 509.05

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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.