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Finding the Fourth Proportional to 497.36, 743.81 and 442.85

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Solution

The fourth proportional to 497.36, 743.81 and 442.85 is: 662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.36 : 743.81 = 442.85 : x
  2. Step 2: Convert to fraction form
    497.36/743.81 = 442.85/x
  3. Step 3: Cross multiply
    497.36x = 743.81 × 442.85
  4. Step 4: Simplify right side
    497.36x = 329,390.33
  5. Step 5: Solve for x
    x = 329,390.33/497.36
  6. Step 6: Final answer
    x = 662.27

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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.