Home / 1,405.23-2,107.77-431.25

Finding the Fourth Proportional to 1,405.23, 2,107.77 and 431.25

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Solution

The fourth proportional to 1,405.23, 2,107.77 and 431.25 is: 646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.23 : 2,107.77 = 431.25 : x
  2. Step 2: Convert to fraction form
    1,405.23/2,107.77 = 431.25/x
  3. Step 3: Cross multiply
    1,405.23x = 2,107.77 × 431.25
  4. Step 4: Simplify right side
    1,405.23x = 908,975.81
  5. Step 5: Solve for x
    x = 908,975.81/1,405.23
  6. Step 6: Final answer
    x = 646.85

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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.