Home / 1,299.07-1,948.61-325.14

Finding the Fourth Proportional to 1,299.07, 1,948.61 and 325.14

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Solution

The fourth proportional to 1,299.07, 1,948.61 and 325.14 is: 487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.07 : 1,948.61 = 325.14 : x
  2. Step 2: Convert to fraction form
    1,299.07/1,948.61 = 325.14/x
  3. Step 3: Cross multiply
    1,299.07x = 1,948.61 × 325.14
  4. Step 4: Simplify right side
    1,299.07x = 633,571.06
  5. Step 5: Solve for x
    x = 633,571.06/1,299.07
  6. Step 6: Final answer
    x = 487.71

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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.