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Finding the Fourth Proportional to 817.87, 1,226.82 and 407.03

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Solution

The fourth proportional to 817.87, 1,226.82 and 407.03 is: 610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.87 : 1,226.82 = 407.03 : x
  2. Step 2: Convert to fraction form
    817.87/1,226.82 = 407.03/x
  3. Step 3: Cross multiply
    817.87x = 1,226.82 × 407.03
  4. Step 4: Simplify right side
    817.87x = 499,346.79
  5. Step 5: Solve for x
    x = 499,346.79/817.87
  6. Step 6: Final answer
    x = 610.54

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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.