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Finding the Fourth Proportional to 826.20, 1,238.28 and 479.52

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Solution

The fourth proportional to 826.20, 1,238.28 and 479.52 is: 718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.20 : 1,238.28 = 479.52 : x
  2. Step 2: Convert to fraction form
    826.20/1,238.28 = 479.52/x
  3. Step 3: Cross multiply
    826.20x = 1,238.28 × 479.52
  4. Step 4: Simplify right side
    826.20x = 593,780.03
  5. Step 5: Solve for x
    x = 593,780.03/826.20
  6. Step 6: Final answer
    x = 718.69

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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.