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Finding the Fourth Proportional to 626.82, 866.28 and 540.96

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Solution

The fourth proportional to 626.82, 866.28 and 540.96 is: 747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.82 : 866.28 = 540.96 : x
  2. Step 2: Convert to fraction form
    626.82/866.28 = 540.96/x
  3. Step 3: Cross multiply
    626.82x = 866.28 × 540.96
  4. Step 4: Simplify right side
    626.82x = 468,622.83
  5. Step 5: Solve for x
    x = 468,622.83/626.82
  6. Step 6: Final answer
    x = 747.62

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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.