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Finding the Fourth Proportional to 468.15, 699.62 and 419.97

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Solution

The fourth proportional to 468.15, 699.62 and 419.97 is: 627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.15 : 699.62 = 419.97 : x
  2. Step 2: Convert to fraction form
    468.15/699.62 = 419.97/x
  3. Step 3: Cross multiply
    468.15x = 699.62 × 419.97
  4. Step 4: Simplify right side
    468.15x = 293,819.41
  5. Step 5: Solve for x
    x = 293,819.41/468.15
  6. Step 6: Final answer
    x = 627.62

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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.