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Finding the Fourth Proportional to 498.26, 741.11 and 496.59

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Solution

The fourth proportional to 498.26, 741.11 and 496.59 is: 738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.26 : 741.11 = 496.59 : x
  2. Step 2: Convert to fraction form
    498.26/741.11 = 496.59/x
  3. Step 3: Cross multiply
    498.26x = 741.11 × 496.59
  4. Step 4: Simplify right side
    498.26x = 368,025.33
  5. Step 5: Solve for x
    x = 368,025.33/498.26
  6. Step 6: Final answer
    x = 738.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.