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Finding the Fourth Proportional to 486.16, 732.83 and 405.54

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Solution

The fourth proportional to 486.16, 732.83 and 405.54 is: 611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.16 : 732.83 = 405.54 : x
  2. Step 2: Convert to fraction form
    486.16/732.83 = 405.54/x
  3. Step 3: Cross multiply
    486.16x = 732.83 × 405.54
  4. Step 4: Simplify right side
    486.16x = 297,191.88
  5. Step 5: Solve for x
    x = 297,191.88/486.16
  6. Step 6: Final answer
    x = 611.30

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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.