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Finding the Fourth Proportional to 1,299.07, 1,948.59 and 325.17

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Solution

The fourth proportional to 1,299.07, 1,948.59 and 325.17 is: 487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.07 : 1,948.59 = 325.17 : x
  2. Step 2: Convert to fraction form
    1,299.07/1,948.59 = 325.17/x
  3. Step 3: Cross multiply
    1,299.07x = 1,948.59 × 325.17
  4. Step 4: Simplify right side
    1,299.07x = 633,629.86
  5. Step 5: Solve for x
    x = 633,629.86/1,299.07
  6. Step 6: Final answer
    x = 487.76

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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.