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Finding the Fourth Proportional to 649.38, 896.36 and 616.32

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Solution

The fourth proportional to 649.38, 896.36 and 616.32 is: 850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.38 : 896.36 = 616.32 : x
  2. Step 2: Convert to fraction form
    649.38/896.36 = 616.32/x
  3. Step 3: Cross multiply
    649.38x = 896.36 × 616.32
  4. Step 4: Simplify right side
    649.38x = 552,444.60
  5. Step 5: Solve for x
    x = 552,444.60/649.38
  6. Step 6: Final answer
    x = 850.73

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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.