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Finding the Fourth Proportional to 627.24, 866.16 and 406.56

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Solution

The fourth proportional to 627.24, 866.16 and 406.56 is: 561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.24 : 866.16 = 406.56 : x
  2. Step 2: Convert to fraction form
    627.24/866.16 = 406.56/x
  3. Step 3: Cross multiply
    627.24x = 866.16 × 406.56
  4. Step 4: Simplify right side
    627.24x = 352,146.01
  5. Step 5: Solve for x
    x = 352,146.01/627.24
  6. Step 6: Final answer
    x = 561.42

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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.