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Finding the Fourth Proportional to 633.48, 871.86 and 536.52

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Solution

The fourth proportional to 633.48, 871.86 and 536.52 is: 738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.48 : 871.86 = 536.52 : x
  2. Step 2: Convert to fraction form
    633.48/871.86 = 536.52/x
  3. Step 3: Cross multiply
    633.48x = 871.86 × 536.52
  4. Step 4: Simplify right side
    633.48x = 467,770.33
  5. Step 5: Solve for x
    x = 467,770.33/633.48
  6. Step 6: Final answer
    x = 738.41

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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.