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Finding the Fourth Proportional to 627.56, 866.24 and 431.64

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Solution

The fourth proportional to 627.56, 866.24 and 431.64 is: 595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.56 : 866.24 = 431.64 : x
  2. Step 2: Convert to fraction form
    627.56/866.24 = 431.64/x
  3. Step 3: Cross multiply
    627.56x = 866.24 × 431.64
  4. Step 4: Simplify right side
    627.56x = 373,903.83
  5. Step 5: Solve for x
    x = 373,903.83/627.56
  6. Step 6: Final answer
    x = 595.81

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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.