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Finding the Fourth Proportional to 829.46, 1,241.55 and 521.66

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Solution

The fourth proportional to 829.46, 1,241.55 and 521.66 is: 780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.46 : 1,241.55 = 521.66 : x
  2. Step 2: Convert to fraction form
    829.46/1,241.55 = 521.66/x
  3. Step 3: Cross multiply
    829.46x = 1,241.55 × 521.66
  4. Step 4: Simplify right side
    829.46x = 647,660.77
  5. Step 5: Solve for x
    x = 647,660.77/829.46
  6. Step 6: Final answer
    x = 780.83

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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.