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Finding the Fourth Proportional to 633.67, 871.81 and 558.64

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Solution

The fourth proportional to 633.67, 871.81 and 558.64 is: 768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.67 : 871.81 = 558.64 : x
  2. Step 2: Convert to fraction form
    633.67/871.81 = 558.64/x
  3. Step 3: Cross multiply
    633.67x = 871.81 × 558.64
  4. Step 4: Simplify right side
    633.67x = 487,027.94
  5. Step 5: Solve for x
    x = 487,027.94/633.67
  6. Step 6: Final answer
    x = 768.58

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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.