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Finding the Fourth Proportional to 440.33, 659.41 and 285.78

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Solution

The fourth proportional to 440.33, 659.41 and 285.78 is: 427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.33 : 659.41 = 285.78 : x
  2. Step 2: Convert to fraction form
    440.33/659.41 = 285.78/x
  3. Step 3: Cross multiply
    440.33x = 659.41 × 285.78
  4. Step 4: Simplify right side
    440.33x = 188,446.19
  5. Step 5: Solve for x
    x = 188,446.19/440.33
  6. Step 6: Final answer
    x = 427.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.