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Finding the Fourth Proportional to 462.42, 638.57 and 345.78

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Solution

The fourth proportional to 462.42, 638.57 and 345.78 is: 477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.42 : 638.57 = 345.78 : x
  2. Step 2: Convert to fraction form
    462.42/638.57 = 345.78/x
  3. Step 3: Cross multiply
    462.42x = 638.57 × 345.78
  4. Step 4: Simplify right side
    462.42x = 220,804.73
  5. Step 5: Solve for x
    x = 220,804.73/462.42
  6. Step 6: Final answer
    x = 477.50

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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.