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Finding the Fourth Proportional to 817.34, 1,226.21 and 355.23

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Solution

The fourth proportional to 817.34, 1,226.21 and 355.23 is: 532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.34 : 1,226.21 = 355.23 : x
  2. Step 2: Convert to fraction form
    817.34/1,226.21 = 355.23/x
  3. Step 3: Cross multiply
    817.34x = 1,226.21 × 355.23
  4. Step 4: Simplify right side
    817.34x = 435,584.80
  5. Step 5: Solve for x
    x = 435,584.80/817.34
  6. Step 6: Final answer
    x = 532.93

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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.