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Finding the Fourth Proportional to 816.96, 1,222.64 and 687.08

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Solution

The fourth proportional to 816.96, 1,222.64 and 687.08 is: 1,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.96 : 1,222.64 = 687.08 : x
  2. Step 2: Convert to fraction form
    816.96/1,222.64 = 687.08/x
  3. Step 3: Cross multiply
    816.96x = 1,222.64 × 687.08
  4. Step 4: Simplify right side
    816.96x = 840,051.49
  5. Step 5: Solve for x
    x = 840,051.49/816.96
  6. Step 6: Final answer
    x = 1,028.27

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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.