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Finding the Fourth Proportional to 490.38, 739.55 and 419.10

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Solution

The fourth proportional to 490.38, 739.55 and 419.10 is: 632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.38 : 739.55 = 419.10 : x
  2. Step 2: Convert to fraction form
    490.38/739.55 = 419.10/x
  3. Step 3: Cross multiply
    490.38x = 739.55 × 419.10
  4. Step 4: Simplify right side
    490.38x = 309,943.31
  5. Step 5: Solve for x
    x = 309,943.31/490.38
  6. Step 6: Final answer
    x = 632.05

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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.