Home / 1,447.24-2,170.98-798.42

Finding the Fourth Proportional to 1,447.24, 2,170.98 and 798.42

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Solution

The fourth proportional to 1,447.24, 2,170.98 and 798.42 is: 1,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.24 : 2,170.98 = 798.42 : x
  2. Step 2: Convert to fraction form
    1,447.24/2,170.98 = 798.42/x
  3. Step 3: Cross multiply
    1,447.24x = 2,170.98 × 798.42
  4. Step 4: Simplify right side
    1,447.24x = 1,733,353.85
  5. Step 5: Solve for x
    x = 1,733,353.85/1,447.24
  6. Step 6: Final answer
    x = 1,197.70

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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.