Home / 1,421.05-2,131.62-447.16

Finding the Fourth Proportional to 1,421.05, 2,131.62 and 447.16

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Solution

The fourth proportional to 1,421.05, 2,131.62 and 447.16 is: 670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.05 : 2,131.62 = 447.16 : x
  2. Step 2: Convert to fraction form
    1,421.05/2,131.62 = 447.16/x
  3. Step 3: Cross multiply
    1,421.05x = 2,131.62 × 447.16
  4. Step 4: Simplify right side
    1,421.05x = 953,169.87
  5. Step 5: Solve for x
    x = 953,169.87/1,421.05
  6. Step 6: Final answer
    x = 670.75

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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.