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Finding the Fourth Proportional to 437.27, 654.75 and 282.35

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Solution

The fourth proportional to 437.27, 654.75 and 282.35 is: 422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.27 : 654.75 = 282.35 : x
  2. Step 2: Convert to fraction form
    437.27/654.75 = 282.35/x
  3. Step 3: Cross multiply
    437.27x = 654.75 × 282.35
  4. Step 4: Simplify right side
    437.27x = 184,868.66
  5. Step 5: Solve for x
    x = 184,868.66/437.27
  6. Step 6: Final answer
    x = 422.78

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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.