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Finding the Fourth Proportional to 664.46, 991.85 and 616.28

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Solution

The fourth proportional to 664.46, 991.85 and 616.28 is: 919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.46 : 991.85 = 616.28 : x
  2. Step 2: Convert to fraction form
    664.46/991.85 = 616.28/x
  3. Step 3: Cross multiply
    664.46x = 991.85 × 616.28
  4. Step 4: Simplify right side
    664.46x = 611,249.28
  5. Step 5: Solve for x
    x = 611,249.28/664.46
  6. Step 6: Final answer
    x = 919.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.