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Finding the Fourth Proportional to 497.73, 746.72 and 292.47

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Solution

The fourth proportional to 497.73, 746.72 and 292.47 is: 438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.73 : 746.72 = 292.47 : x
  2. Step 2: Convert to fraction form
    497.73/746.72 = 292.47/x
  3. Step 3: Cross multiply
    497.73x = 746.72 × 292.47
  4. Step 4: Simplify right side
    497.73x = 218,392.47
  5. Step 5: Solve for x
    x = 218,392.47/497.73
  6. Step 6: Final answer
    x = 438.78

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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.