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Finding the Fourth Proportional to 486.24, 732.27 and 409.68

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Solution

The fourth proportional to 486.24, 732.27 and 409.68 is: 616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.24 : 732.27 = 409.68 : x
  2. Step 2: Convert to fraction form
    486.24/732.27 = 409.68/x
  3. Step 3: Cross multiply
    486.24x = 732.27 × 409.68
  4. Step 4: Simplify right side
    486.24x = 299,996.37
  5. Step 5: Solve for x
    x = 299,996.37/486.24
  6. Step 6: Final answer
    x = 616.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.