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Finding the Fourth Proportional to 616.36, 920.80 and 441.64

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Solution

The fourth proportional to 616.36, 920.80 and 441.64 is: 659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.36 : 920.80 = 441.64 : x
  2. Step 2: Convert to fraction form
    616.36/920.80 = 441.64/x
  3. Step 3: Cross multiply
    616.36x = 920.80 × 441.64
  4. Step 4: Simplify right side
    616.36x = 406,662.11
  5. Step 5: Solve for x
    x = 406,662.11/616.36
  6. Step 6: Final answer
    x = 659.78

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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.