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Finding the Fourth Proportional to 416.73, 627.50 and 344.31

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Solution

The fourth proportional to 416.73, 627.50 and 344.31 is: 518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.73 : 627.50 = 344.31 : x
  2. Step 2: Convert to fraction form
    416.73/627.50 = 344.31/x
  3. Step 3: Cross multiply
    416.73x = 627.50 × 344.31
  4. Step 4: Simplify right side
    416.73x = 216,054.53
  5. Step 5: Solve for x
    x = 216,054.53/416.73
  6. Step 6: Final answer
    x = 518.45

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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.