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Finding the Fourth Proportional to 2,658.75, 3,988.23 and 809.94

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Solution

The fourth proportional to 2,658.75, 3,988.23 and 809.94 is: 1,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.75 : 3,988.23 = 809.94 : x
  2. Step 2: Convert to fraction form
    2,658.75/3,988.23 = 809.94/x
  3. Step 3: Cross multiply
    2,658.75x = 3,988.23 × 809.94
  4. Step 4: Simplify right side
    2,658.75x = 3,230,227.01
  5. Step 5: Solve for x
    x = 3,230,227.01/2,658.75
  6. Step 6: Final answer
    x = 1,214.94

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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.