Home / 1,447.28-2,170.53-407.22

Finding the Fourth Proportional to 1,447.28, 2,170.53 and 407.22

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Solution

The fourth proportional to 1,447.28, 2,170.53 and 407.22 is: 610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.28 : 2,170.53 = 407.22 : x
  2. Step 2: Convert to fraction form
    1,447.28/2,170.53 = 407.22/x
  3. Step 3: Cross multiply
    1,447.28x = 2,170.53 × 407.22
  4. Step 4: Simplify right side
    1,447.28x = 883,883.23
  5. Step 5: Solve for x
    x = 883,883.23/1,447.28
  6. Step 6: Final answer
    x = 610.72

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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.