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Finding the Fourth Proportional to 497.10, 744.73 and 442.42

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Solution

The fourth proportional to 497.10, 744.73 and 442.42 is: 662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.10 : 744.73 = 442.42 : x
  2. Step 2: Convert to fraction form
    497.10/744.73 = 442.42/x
  3. Step 3: Cross multiply
    497.10x = 744.73 × 442.42
  4. Step 4: Simplify right side
    497.10x = 329,483.45
  5. Step 5: Solve for x
    x = 329,483.45/497.10
  6. Step 6: Final answer
    x = 662.81

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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.