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Finding the Fourth Proportional to 909.33, 1,252.29 and 827.31

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Solution

The fourth proportional to 909.33, 1,252.29 and 827.31 is: 1,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.33 : 1,252.29 = 827.31 : x
  2. Step 2: Convert to fraction form
    909.33/1,252.29 = 827.31/x
  3. Step 3: Cross multiply
    909.33x = 1,252.29 × 827.31
  4. Step 4: Simplify right side
    909.33x = 1,036,039.84
  5. Step 5: Solve for x
    x = 1,036,039.84/909.33
  6. Step 6: Final answer
    x = 1,139.35

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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.