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Finding the Fourth Proportional to 1,311.09, 1,809.03 and 751.74

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Solution

The fourth proportional to 1,311.09, 1,809.03 and 751.74 is: 1,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.09 : 1,809.03 = 751.74 : x
  2. Step 2: Convert to fraction form
    1,311.09/1,809.03 = 751.74/x
  3. Step 3: Cross multiply
    1,311.09x = 1,809.03 × 751.74
  4. Step 4: Simplify right side
    1,311.09x = 1,359,920.21
  5. Step 5: Solve for x
    x = 1,359,920.21/1,311.09
  6. Step 6: Final answer
    x = 1,037.24

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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.