Home / 1,421.05-2,131.80-447.06

Finding the Fourth Proportional to 1,421.05, 2,131.80 and 447.06

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Solution

The fourth proportional to 1,421.05, 2,131.80 and 447.06 is: 670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.05 : 2,131.80 = 447.06 : x
  2. Step 2: Convert to fraction form
    1,421.05/2,131.80 = 447.06/x
  3. Step 3: Cross multiply
    1,421.05x = 2,131.80 × 447.06
  4. Step 4: Simplify right side
    1,421.05x = 953,042.51
  5. Step 5: Solve for x
    x = 953,042.51/1,421.05
  6. Step 6: Final answer
    x = 670.66

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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.