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Finding the Fourth Proportional to 497.89, 746.97 and 281.35

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Solution

The fourth proportional to 497.89, 746.97 and 281.35 is: 422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.89 : 746.97 = 281.35 : x
  2. Step 2: Convert to fraction form
    497.89/746.97 = 281.35/x
  3. Step 3: Cross multiply
    497.89x = 746.97 × 281.35
  4. Step 4: Simplify right side
    497.89x = 210,160.01
  5. Step 5: Solve for x
    x = 210,160.01/497.89
  6. Step 6: Final answer
    x = 422.10

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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.