Home / 1,405.11-2,107.97-431.29

Finding the Fourth Proportional to 1,405.11, 2,107.97 and 431.29

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Solution

The fourth proportional to 1,405.11, 2,107.97 and 431.29 is: 647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.11 : 2,107.97 = 431.29 : x
  2. Step 2: Convert to fraction form
    1,405.11/2,107.97 = 431.29/x
  3. Step 3: Cross multiply
    1,405.11x = 2,107.97 × 431.29
  4. Step 4: Simplify right side
    1,405.11x = 909,133.69
  5. Step 5: Solve for x
    x = 909,133.69/1,405.11
  6. Step 6: Final answer
    x = 647.02

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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.