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Finding the Fourth Proportional to 649.47, 974.24 and 284.25

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Solution

The fourth proportional to 649.47, 974.24 and 284.25 is: 426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.47 : 974.24 = 284.25 : x
  2. Step 2: Convert to fraction form
    649.47/974.24 = 284.25/x
  3. Step 3: Cross multiply
    649.47x = 974.24 × 284.25
  4. Step 4: Simplify right side
    649.47x = 276,927.72
  5. Step 5: Solve for x
    x = 276,927.72/649.47
  6. Step 6: Final answer
    x = 426.39

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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.