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Finding the Fourth Proportional to 874.27, 1,309.71 and 829.99

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Solution

The fourth proportional to 874.27, 1,309.71 and 829.99 is: 1,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.27 : 1,309.71 = 829.99 : x
  2. Step 2: Convert to fraction form
    874.27/1,309.71 = 829.99/x
  3. Step 3: Cross multiply
    874.27x = 1,309.71 × 829.99
  4. Step 4: Simplify right side
    874.27x = 1,087,039.65
  5. Step 5: Solve for x
    x = 1,087,039.65/874.27
  6. Step 6: Final answer
    x = 1,243.38

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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.