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Finding the Fourth Proportional to 1,311.53, 1,805.46 and 1,136.90

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Solution

The fourth proportional to 1,311.53, 1,805.46 and 1,136.90 is: 1,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.53 : 1,805.46 = 1,136.90 : x
  2. Step 2: Convert to fraction form
    1,311.53/1,805.46 = 1,136.90/x
  3. Step 3: Cross multiply
    1,311.53x = 1,805.46 × 1,136.90
  4. Step 4: Simplify right side
    1,311.53x = 2,052,627.72
  5. Step 5: Solve for x
    x = 2,052,627.72/1,311.53
  6. Step 6: Final answer
    x = 1,565.07

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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.