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Finding the Fourth Proportional to 497.78, 746.94 and 281.78

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Solution

The fourth proportional to 497.78, 746.94 and 281.78 is: 422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.78 : 746.94 = 281.78 : x
  2. Step 2: Convert to fraction form
    497.78/746.94 = 281.78/x
  3. Step 3: Cross multiply
    497.78x = 746.94 × 281.78
  4. Step 4: Simplify right side
    497.78x = 210,472.75
  5. Step 5: Solve for x
    x = 210,472.75/497.78
  6. Step 6: Final answer
    x = 422.82

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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.