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Finding the Fourth Proportional to 486.90, 733.61 and 440.69

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Solution

The fourth proportional to 486.90, 733.61 and 440.69 is: 663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.90 : 733.61 = 440.69 : x
  2. Step 2: Convert to fraction form
    486.90/733.61 = 440.69/x
  3. Step 3: Cross multiply
    486.90x = 733.61 × 440.69
  4. Step 4: Simplify right side
    486.90x = 323,288.72
  5. Step 5: Solve for x
    x = 323,288.72/486.90
  6. Step 6: Final answer
    x = 663.97

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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.