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Finding the Fourth Proportional to 824.19, 1,135.98 and 754.44

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Solution

The fourth proportional to 824.19, 1,135.98 and 754.44 is: 1,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.19 : 1,135.98 = 754.44 : x
  2. Step 2: Convert to fraction form
    824.19/1,135.98 = 754.44/x
  3. Step 3: Cross multiply
    824.19x = 1,135.98 × 754.44
  4. Step 4: Simplify right side
    824.19x = 857,028.75
  5. Step 5: Solve for x
    x = 857,028.75/824.19
  6. Step 6: Final answer
    x = 1,039.84

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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.