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Finding the Fourth Proportional to 1,799.70, 2,699.34 and 759.87

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Solution

The fourth proportional to 1,799.70, 2,699.34 and 759.87 is: 1,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.70 : 2,699.34 = 759.87 : x
  2. Step 2: Convert to fraction form
    1,799.70/2,699.34 = 759.87/x
  3. Step 3: Cross multiply
    1,799.70x = 2,699.34 × 759.87
  4. Step 4: Simplify right side
    1,799.70x = 2,051,147.49
  5. Step 5: Solve for x
    x = 2,051,147.49/1,799.70
  6. Step 6: Final answer
    x = 1,139.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.