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Finding the Fourth Proportional to 1,311.91, 1,811.73 and 814.75

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Solution

The fourth proportional to 1,311.91, 1,811.73 and 814.75 is: 1,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.91 : 1,811.73 = 814.75 : x
  2. Step 2: Convert to fraction form
    1,311.91/1,811.73 = 814.75/x
  3. Step 3: Cross multiply
    1,311.91x = 1,811.73 × 814.75
  4. Step 4: Simplify right side
    1,311.91x = 1,476,107.02
  5. Step 5: Solve for x
    x = 1,476,107.02/1,311.91
  6. Step 6: Final answer
    x = 1,125.16

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,312.91, 1,813.11 and 815.75
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1.5x scale

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.