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Finding the Fourth Proportional to 817.74, 1,226.61 and 406.53

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Solution

The fourth proportional to 817.74, 1,226.61 and 406.53 is: 609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.74 : 1,226.61 = 406.53 : x
  2. Step 2: Convert to fraction form
    817.74/1,226.61 = 406.53/x
  3. Step 3: Cross multiply
    817.74x = 1,226.61 × 406.53
  4. Step 4: Simplify right side
    817.74x = 498,653.76
  5. Step 5: Solve for x
    x = 498,653.76/817.74
  6. Step 6: Final answer
    x = 609.80

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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.