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Finding the Fourth Proportional to 649.64, 973.89 and 284.15

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Solution

The fourth proportional to 649.64, 973.89 and 284.15 is: 425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.64 : 973.89 = 284.15 : x
  2. Step 2: Convert to fraction form
    649.64/973.89 = 284.15/x
  3. Step 3: Cross multiply
    649.64x = 973.89 × 284.15
  4. Step 4: Simplify right side
    649.64x = 276,725.97
  5. Step 5: Solve for x
    x = 276,725.97/649.64
  6. Step 6: Final answer
    x = 425.97

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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.