Home / 1,447.12-2,170.80-407.13

Finding the Fourth Proportional to 1,447.12, 2,170.80 and 407.13

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Solution

The fourth proportional to 1,447.12, 2,170.80 and 407.13 is: 610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.12 : 2,170.80 = 407.13 : x
  2. Step 2: Convert to fraction form
    1,447.12/2,170.80 = 407.13/x
  3. Step 3: Cross multiply
    1,447.12x = 2,170.80 × 407.13
  4. Step 4: Simplify right side
    1,447.12x = 883,797.80
  5. Step 5: Solve for x
    x = 883,797.80/1,447.12
  6. Step 6: Final answer
    x = 610.73

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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.