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Finding the Fourth Proportional to 462.83, 638.52 and 305.75

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Solution

The fourth proportional to 462.83, 638.52 and 305.75 is: 421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.83 : 638.52 = 305.75 : x
  2. Step 2: Convert to fraction form
    462.83/638.52 = 305.75/x
  3. Step 3: Cross multiply
    462.83x = 638.52 × 305.75
  4. Step 4: Simplify right side
    462.83x = 195,224.30
  5. Step 5: Solve for x
    x = 195,224.30/462.83
  6. Step 6: Final answer
    x = 421.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.