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Finding the Fourth Proportional to 633.96, 872.51 and 563.76

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Solution

The fourth proportional to 633.96, 872.51 and 563.76 is: 775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.96 : 872.51 = 563.76 : x
  2. Step 2: Convert to fraction form
    633.96/872.51 = 563.76/x
  3. Step 3: Cross multiply
    633.96x = 872.51 × 563.76
  4. Step 4: Simplify right side
    633.96x = 491,883.42
  5. Step 5: Solve for x
    x = 491,883.42/633.96
  6. Step 6: Final answer
    x = 775.89

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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.