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Finding the Fourth Proportional to 1,299.42, 1,949.19 and 325.53

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Solution

The fourth proportional to 1,299.42, 1,949.19 and 325.53 is: 488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.42 : 1,949.19 = 325.53 : x
  2. Step 2: Convert to fraction form
    1,299.42/1,949.19 = 325.53/x
  3. Step 3: Cross multiply
    1,299.42x = 1,949.19 × 325.53
  4. Step 4: Simplify right side
    1,299.42x = 634,519.82
  5. Step 5: Solve for x
    x = 634,519.82/1,299.42
  6. Step 6: Final answer
    x = 488.31

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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.