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Finding the Fourth Proportional to 854.05, 1,180.89 and 814.63

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Solution

The fourth proportional to 854.05, 1,180.89 and 814.63 is: 1,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.05 : 1,180.89 = 814.63 : x
  2. Step 2: Convert to fraction form
    854.05/1,180.89 = 814.63/x
  3. Step 3: Cross multiply
    854.05x = 1,180.89 × 814.63
  4. Step 4: Simplify right side
    854.05x = 961,988.42
  5. Step 5: Solve for x
    x = 961,988.42/854.05
  6. Step 6: Final answer
    x = 1,126.38

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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.