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Finding the Fourth Proportional to 649.95, 974.38 and 284.47

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Solution

The fourth proportional to 649.95, 974.38 and 284.47 is: 426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.95 : 974.38 = 284.47 : x
  2. Step 2: Convert to fraction form
    649.95/974.38 = 284.47/x
  3. Step 3: Cross multiply
    649.95x = 974.38 × 284.47
  4. Step 4: Simplify right side
    649.95x = 277,181.88
  5. Step 5: Solve for x
    x = 277,181.88/649.95
  6. Step 6: Final answer
    x = 426.47

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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.