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Finding the Fourth Proportional to 817.96, 1,129.58 and 699.24

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Solution

The fourth proportional to 817.96, 1,129.58 and 699.24 is: 965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.96 : 1,129.58 = 699.24 : x
  2. Step 2: Convert to fraction form
    817.96/1,129.58 = 699.24/x
  3. Step 3: Cross multiply
    817.96x = 1,129.58 × 699.24
  4. Step 4: Simplify right side
    817.96x = 789,846.65
  5. Step 5: Solve for x
    x = 789,846.65/817.96
  6. Step 6: Final answer
    x = 965.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.