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Finding the Fourth Proportional to 826.56, 1,238.80 and 392.72

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Solution

The fourth proportional to 826.56, 1,238.80 and 392.72 is: 588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.56 : 1,238.80 = 392.72 : x
  2. Step 2: Convert to fraction form
    826.56/1,238.80 = 392.72/x
  3. Step 3: Cross multiply
    826.56x = 1,238.80 × 392.72
  4. Step 4: Simplify right side
    826.56x = 486,501.54
  5. Step 5: Solve for x
    x = 486,501.54/826.56
  6. Step 6: Final answer
    x = 588.59

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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.