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Finding the Fourth Proportional to 497.22, 743.64 and 442.72

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Solution

The fourth proportional to 497.22, 743.64 and 442.72 is: 662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.22 : 743.64 = 442.72 : x
  2. Step 2: Convert to fraction form
    497.22/743.64 = 442.72/x
  3. Step 3: Cross multiply
    497.22x = 743.64 × 442.72
  4. Step 4: Simplify right side
    497.22x = 329,224.30
  5. Step 5: Solve for x
    x = 329,224.30/497.22
  6. Step 6: Final answer
    x = 662.13

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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.