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Finding the Fourth Proportional to 854.62, 1,184.81 and 824.59

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Solution

The fourth proportional to 854.62, 1,184.81 and 824.59 is: 1,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.62 : 1,184.81 = 824.59 : x
  2. Step 2: Convert to fraction form
    854.62/1,184.81 = 824.59/x
  3. Step 3: Cross multiply
    854.62x = 1,184.81 × 824.59
  4. Step 4: Simplify right side
    854.62x = 976,982.48
  5. Step 5: Solve for x
    x = 976,982.48/854.62
  6. Step 6: Final answer
    x = 1,143.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.