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Finding the Fourth Proportional to 816.34, 1,226.34 and 491.95

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Solution

The fourth proportional to 816.34, 1,226.34 and 491.95 is: 739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.34 : 1,226.34 = 491.95 : x
  2. Step 2: Convert to fraction form
    816.34/1,226.34 = 491.95/x
  3. Step 3: Cross multiply
    816.34x = 1,226.34 × 491.95
  4. Step 4: Simplify right side
    816.34x = 603,297.96
  5. Step 5: Solve for x
    x = 603,297.96/816.34
  6. Step 6: Final answer
    x = 739.03

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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.