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Finding the Fourth Proportional to 419.56, 627.72 and 298.06

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Solution

The fourth proportional to 419.56, 627.72 and 298.06 is: 445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.56 : 627.72 = 298.06 : x
  2. Step 2: Convert to fraction form
    419.56/627.72 = 298.06/x
  3. Step 3: Cross multiply
    419.56x = 627.72 × 298.06
  4. Step 4: Simplify right side
    419.56x = 187,098.22
  5. Step 5: Solve for x
    x = 187,098.22/419.56
  6. Step 6: Final answer
    x = 445.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.