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Finding the Fourth Proportional to 627.81, 943.56 and 412.76

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Solution

The fourth proportional to 627.81, 943.56 and 412.76 is: 620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.81 : 943.56 = 412.76 : x
  2. Step 2: Convert to fraction form
    627.81/943.56 = 412.76/x
  3. Step 3: Cross multiply
    627.81x = 943.56 × 412.76
  4. Step 4: Simplify right side
    627.81x = 389,459.11
  5. Step 5: Solve for x
    x = 389,459.11/627.81
  6. Step 6: Final answer
    x = 620.35

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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.