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Finding the Fourth Proportional to 826.79, 1,239.82 and 278.83

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Solution

The fourth proportional to 826.79, 1,239.82 and 278.83 is: 418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.79 : 1,239.82 = 278.83 : x
  2. Step 2: Convert to fraction form
    826.79/1,239.82 = 278.83/x
  3. Step 3: Cross multiply
    826.79x = 1,239.82 × 278.83
  4. Step 4: Simplify right side
    826.79x = 345,693.51
  5. Step 5: Solve for x
    x = 345,693.51/826.79
  6. Step 6: Final answer
    x = 418.12

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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.