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Finding the Fourth Proportional to 627.05, 938.41 and 464.51

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Solution

The fourth proportional to 627.05, 938.41 and 464.51 is: 695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.05 : 938.41 = 464.51 : x
  2. Step 2: Convert to fraction form
    627.05/938.41 = 464.51/x
  3. Step 3: Cross multiply
    627.05x = 938.41 × 464.51
  4. Step 4: Simplify right side
    627.05x = 435,900.83
  5. Step 5: Solve for x
    x = 435,900.83/627.05
  6. Step 6: Final answer
    x = 695.16

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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.