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Finding the Fourth Proportional to 496.78, 741.05 and 414.70

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Solution

The fourth proportional to 496.78, 741.05 and 414.70 is: 618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.78 : 741.05 = 414.70 : x
  2. Step 2: Convert to fraction form
    496.78/741.05 = 414.70/x
  3. Step 3: Cross multiply
    496.78x = 741.05 × 414.70
  4. Step 4: Simplify right side
    496.78x = 307,313.44
  5. Step 5: Solve for x
    x = 307,313.44/496.78
  6. Step 6: Final answer
    x = 618.61

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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.