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Finding the Fourth Proportional to 826.19, 1,239.50 and 249.06

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Solution

The fourth proportional to 826.19, 1,239.50 and 249.06 is: 373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.19 : 1,239.50 = 249.06 : x
  2. Step 2: Convert to fraction form
    826.19/1,239.50 = 249.06/x
  3. Step 3: Cross multiply
    826.19x = 1,239.50 × 249.06
  4. Step 4: Simplify right side
    826.19x = 308,709.87
  5. Step 5: Solve for x
    x = 308,709.87/826.19
  6. Step 6: Final answer
    x = 373.65

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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.