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Finding the Fourth Proportional to 816.76, 1,222.53 and 450.64

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Solution

The fourth proportional to 816.76, 1,222.53 and 450.64 is: 674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.76 : 1,222.53 = 450.64 : x
  2. Step 2: Convert to fraction form
    816.76/1,222.53 = 450.64/x
  3. Step 3: Cross multiply
    816.76x = 1,222.53 × 450.64
  4. Step 4: Simplify right side
    816.76x = 550,920.92
  5. Step 5: Solve for x
    x = 550,920.92/816.76
  6. Step 6: Final answer
    x = 674.52

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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.