Home / 1,309.26-1,964.24-431.92

Finding the Fourth Proportional to 1,309.26, 1,964.24 and 431.92

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Solution

The fourth proportional to 1,309.26, 1,964.24 and 431.92 is: 648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.26 : 1,964.24 = 431.92 : x
  2. Step 2: Convert to fraction form
    1,309.26/1,964.24 = 431.92/x
  3. Step 3: Cross multiply
    1,309.26x = 1,964.24 × 431.92
  4. Step 4: Simplify right side
    1,309.26x = 848,392.38
  5. Step 5: Solve for x
    x = 848,392.38/1,309.26
  6. Step 6: Final answer
    x = 648.00

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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.