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Finding the Fourth Proportional to 826.47, 1,239.01 and 387.49

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Solution

The fourth proportional to 826.47, 1,239.01 and 387.49 is: 580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.47 : 1,239.01 = 387.49 : x
  2. Step 2: Convert to fraction form
    826.47/1,239.01 = 387.49/x
  3. Step 3: Cross multiply
    826.47x = 1,239.01 × 387.49
  4. Step 4: Simplify right side
    826.47x = 480,103.98
  5. Step 5: Solve for x
    x = 480,103.98/826.47
  6. Step 6: Final answer
    x = 580.91

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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.