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Finding the Fourth Proportional to 1,286.01, 1,774.50 and 813.69

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Solution

The fourth proportional to 1,286.01, 1,774.50 and 813.69 is: 1,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.01 : 1,774.50 = 813.69 : x
  2. Step 2: Convert to fraction form
    1,286.01/1,774.50 = 813.69/x
  3. Step 3: Cross multiply
    1,286.01x = 1,774.50 × 813.69
  4. Step 4: Simplify right side
    1,286.01x = 1,443,892.91
  5. Step 5: Solve for x
    x = 1,443,892.91/1,286.01
  6. Step 6: Final answer
    x = 1,122.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.