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Finding the Fourth Proportional to 1,311.11, 1,966.66 and 823.13

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Solution

The fourth proportional to 1,311.11, 1,966.66 and 823.13 is: 1,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.11 : 1,966.66 = 823.13 : x
  2. Step 2: Convert to fraction form
    1,311.11/1,966.66 = 823.13/x
  3. Step 3: Cross multiply
    1,311.11x = 1,966.66 × 823.13
  4. Step 4: Simplify right side
    1,311.11x = 1,618,804.95
  5. Step 5: Solve for x
    x = 1,618,804.95/1,311.11
  6. Step 6: Final answer
    x = 1,234.69

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Similar ratio
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1.5x scale

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.