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Finding the Fourth Proportional to 1,309, 1,806.50 and 757

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Solution

The fourth proportional to 1,309, 1,806.50 and 757 is: 1,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309 : 1,806.50 = 757 : x
  2. Step 2: Convert to fraction form
    1,309/1,806.50 = 757/x
  3. Step 3: Cross multiply
    1,309x = 1,806.50 × 757
  4. Step 4: Simplify right side
    1,309x = 1,367,520.50
  5. Step 5: Solve for x
    x = 1,367,520.50/1,309
  6. Step 6: Final answer
    x = 1,044.71

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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.