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Finding the Fourth Proportional to 826.40, 1,238.88 and 392.96

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Solution

The fourth proportional to 826.40, 1,238.88 and 392.96 is: 589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.40 : 1,238.88 = 392.96 : x
  2. Step 2: Convert to fraction form
    826.40/1,238.88 = 392.96/x
  3. Step 3: Cross multiply
    826.40x = 1,238.88 × 392.96
  4. Step 4: Simplify right side
    826.40x = 486,830.28
  5. Step 5: Solve for x
    x = 486,830.28/826.40
  6. Step 6: Final answer
    x = 589.10

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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.