Home / 1,405.25-2,107.97-431.37

Finding the Fourth Proportional to 1,405.25, 2,107.97 and 431.37

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Solution

The fourth proportional to 1,405.25, 2,107.97 and 431.37 is: 647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.25 : 2,107.97 = 431.37 : x
  2. Step 2: Convert to fraction form
    1,405.25/2,107.97 = 431.37/x
  3. Step 3: Cross multiply
    1,405.25x = 2,107.97 × 431.37
  4. Step 4: Simplify right side
    1,405.25x = 909,312.86
  5. Step 5: Solve for x
    x = 909,312.86/1,405.25
  6. Step 6: Final answer
    x = 647.08

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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.