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Finding the Fourth Proportional to 627.76, 866.36 and 351.76

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Solution

The fourth proportional to 627.76, 866.36 and 351.76 is: 485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.76 : 866.36 = 351.76 : x
  2. Step 2: Convert to fraction form
    627.76/866.36 = 351.76/x
  3. Step 3: Cross multiply
    627.76x = 866.36 × 351.76
  4. Step 4: Simplify right side
    627.76x = 304,750.79
  5. Step 5: Solve for x
    x = 304,750.79/627.76
  6. Step 6: Final answer
    x = 485.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.