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Finding the Fourth Proportional to 817.95, 1,226.39 and 385.23

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Solution

The fourth proportional to 817.95, 1,226.39 and 385.23 is: 577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.95 : 1,226.39 = 385.23 : x
  2. Step 2: Convert to fraction form
    817.95/1,226.39 = 385.23/x
  3. Step 3: Cross multiply
    817.95x = 1,226.39 × 385.23
  4. Step 4: Simplify right side
    817.95x = 472,440.29
  5. Step 5: Solve for x
    x = 472,440.29/817.95
  6. Step 6: Final answer
    x = 577.59

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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.