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Finding the Fourth Proportional to 2,658.58, 3,988.07 and 809.85

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Solution

The fourth proportional to 2,658.58, 3,988.07 and 809.85 is: 1,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.58 : 3,988.07 = 809.85 : x
  2. Step 2: Convert to fraction form
    2,658.58/3,988.07 = 809.85/x
  3. Step 3: Cross multiply
    2,658.58x = 3,988.07 × 809.85
  4. Step 4: Simplify right side
    2,658.58x = 3,229,738.49
  5. Step 5: Solve for x
    x = 3,229,738.49/2,658.58
  6. Step 6: Final answer
    x = 1,214.84

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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.