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Finding the Fourth Proportional to 649.39, 896.36 and 616.33

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Solution

The fourth proportional to 649.39, 896.36 and 616.33 is: 850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.39 : 896.36 = 616.33 : x
  2. Step 2: Convert to fraction form
    649.39/896.36 = 616.33/x
  3. Step 3: Cross multiply
    649.39x = 896.36 × 616.33
  4. Step 4: Simplify right side
    649.39x = 552,446.00
  5. Step 5: Solve for x
    x = 552,446.00/649.39
  6. Step 6: Final answer
    x = 850.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.