Home / 1,405.04-2,107.55-431.15

Finding the Fourth Proportional to 1,405.04, 2,107.55 and 431.15

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Solution

The fourth proportional to 1,405.04, 2,107.55 and 431.15 is: 646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.04 : 2,107.55 = 431.15 : x
  2. Step 2: Convert to fraction form
    1,405.04/2,107.55 = 431.15/x
  3. Step 3: Cross multiply
    1,405.04x = 2,107.55 × 431.15
  4. Step 4: Simplify right side
    1,405.04x = 908,660.72
  5. Step 5: Solve for x
    x = 908,660.72/1,405.04
  6. Step 6: Final answer
    x = 646.72

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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.