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Finding the Fourth Proportional to 490.56, 739.28 and 419.36

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Solution

The fourth proportional to 490.56, 739.28 and 419.36 is: 631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.56 : 739.28 = 419.36 : x
  2. Step 2: Convert to fraction form
    490.56/739.28 = 419.36/x
  3. Step 3: Cross multiply
    490.56x = 739.28 × 419.36
  4. Step 4: Simplify right side
    490.56x = 310,024.46
  5. Step 5: Solve for x
    x = 310,024.46/490.56
  6. Step 6: Final answer
    x = 631.98

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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.