Home / 1,405.30-2,107.20-431.14

Finding the Fourth Proportional to 1,405.30, 2,107.20 and 431.14

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Solution

The fourth proportional to 1,405.30, 2,107.20 and 431.14 is: 646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.30 : 2,107.20 = 431.14 : x
  2. Step 2: Convert to fraction form
    1,405.30/2,107.20 = 431.14/x
  3. Step 3: Cross multiply
    1,405.30x = 2,107.20 × 431.14
  4. Step 4: Simplify right side
    1,405.30x = 908,498.21
  5. Step 5: Solve for x
    x = 908,498.21/1,405.30
  6. Step 6: Final answer
    x = 646.48

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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.