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Finding the Fourth Proportional to 2,649.57, 3,974.58 and 800.70

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Solution

The fourth proportional to 2,649.57, 3,974.58 and 800.70 is: 1,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.57 : 3,974.58 = 800.70 : x
  2. Step 2: Convert to fraction form
    2,649.57/3,974.58 = 800.70/x
  3. Step 3: Cross multiply
    2,649.57x = 3,974.58 × 800.70
  4. Step 4: Simplify right side
    2,649.57x = 3,182,446.21
  5. Step 5: Solve for x
    x = 3,182,446.21/2,649.57
  6. Step 6: Final answer
    x = 1,201.12

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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.