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Finding the Fourth Proportional to 1,311.21, 1,809.41 and 751.91

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Solution

The fourth proportional to 1,311.21, 1,809.41 and 751.91 is: 1,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.21 : 1,809.41 = 751.91 : x
  2. Step 2: Convert to fraction form
    1,311.21/1,809.41 = 751.91/x
  3. Step 3: Cross multiply
    1,311.21x = 1,809.41 × 751.91
  4. Step 4: Simplify right side
    1,311.21x = 1,360,500.67
  5. Step 5: Solve for x
    x = 1,360,500.67/1,311.21
  6. Step 6: Final answer
    x = 1,037.59

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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.