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Finding the Fourth Proportional to 496.50, 742.54 and 442.04

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Solution

The fourth proportional to 496.50, 742.54 and 442.04 is: 661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.50 : 742.54 = 442.04 : x
  2. Step 2: Convert to fraction form
    496.50/742.54 = 442.04/x
  3. Step 3: Cross multiply
    496.50x = 742.54 × 442.04
  4. Step 4: Simplify right side
    496.50x = 328,232.38
  5. Step 5: Solve for x
    x = 328,232.38/496.50
  6. Step 6: Final answer
    x = 661.09

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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.