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Finding the Fourth Proportional to 633.89, 872.57 and 612.83

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Solution

The fourth proportional to 633.89, 872.57 and 612.83 is: 843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.89 : 872.57 = 612.83 : x
  2. Step 2: Convert to fraction form
    633.89/872.57 = 612.83/x
  3. Step 3: Cross multiply
    633.89x = 872.57 × 612.83
  4. Step 4: Simplify right side
    633.89x = 534,740.79
  5. Step 5: Solve for x
    x = 534,740.79/633.89
  6. Step 6: Final answer
    x = 843.58

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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.