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Finding the Fourth Proportional to 817.58, 1,217.42 and 805.94

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Solution

The fourth proportional to 817.58, 1,217.42 and 805.94 is: 1,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.58 : 1,217.42 = 805.94 : x
  2. Step 2: Convert to fraction form
    817.58/1,217.42 = 805.94/x
  3. Step 3: Cross multiply
    817.58x = 1,217.42 × 805.94
  4. Step 4: Simplify right side
    817.58x = 981,167.47
  5. Step 5: Solve for x
    x = 981,167.47/817.58
  6. Step 6: Final answer
    x = 1,200.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.