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Finding the Fourth Proportional to 1,311.14, 1,966.91 and 817.14

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Solution

The fourth proportional to 1,311.14, 1,966.91 and 817.14 is: 1,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.14 : 1,966.91 = 817.14 : x
  2. Step 2: Convert to fraction form
    1,311.14/1,966.91 = 817.14/x
  3. Step 3: Cross multiply
    1,311.14x = 1,966.91 × 817.14
  4. Step 4: Simplify right side
    1,311.14x = 1,607,236.75
  5. Step 5: Solve for x
    x = 1,607,236.75/1,311.14
  6. Step 6: Final answer
    x = 1,225.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.