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Finding the Fourth Proportional to 419.50, 627.25 and 382.74

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Solution

The fourth proportional to 419.50, 627.25 and 382.74 is: 572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.50 : 627.25 = 382.74 : x
  2. Step 2: Convert to fraction form
    419.50/627.25 = 382.74/x
  3. Step 3: Cross multiply
    419.50x = 627.25 × 382.74
  4. Step 4: Simplify right side
    419.50x = 240,071.92
  5. Step 5: Solve for x
    x = 240,071.92/419.50
  6. Step 6: Final answer
    x = 572.28

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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.