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Finding the Fourth Proportional to 649.53, 974.26 and 284.09

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Solution

The fourth proportional to 649.53, 974.26 and 284.09 is: 426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.53 : 974.26 = 284.09 : x
  2. Step 2: Convert to fraction form
    649.53/974.26 = 284.09/x
  3. Step 3: Cross multiply
    649.53x = 974.26 × 284.09
  4. Step 4: Simplify right side
    649.53x = 276,772.65
  5. Step 5: Solve for x
    x = 276,772.65/649.53
  6. Step 6: Final answer
    x = 426.11

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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.