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Finding the Fourth Proportional to 496.90, 748.18 and 439.48

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Solution

The fourth proportional to 496.90, 748.18 and 439.48 is: 661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.90 : 748.18 = 439.48 : x
  2. Step 2: Convert to fraction form
    496.90/748.18 = 439.48/x
  3. Step 3: Cross multiply
    496.90x = 748.18 × 439.48
  4. Step 4: Simplify right side
    496.90x = 328,810.15
  5. Step 5: Solve for x
    x = 328,810.15/496.90
  6. Step 6: Final answer
    x = 661.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.