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Finding the Fourth Proportional to 633.72, 873.27 and 616.74

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Solution

The fourth proportional to 633.72, 873.27 and 616.74 is: 849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.72 : 873.27 = 616.74 : x
  2. Step 2: Convert to fraction form
    633.72/873.27 = 616.74/x
  3. Step 3: Cross multiply
    633.72x = 873.27 × 616.74
  4. Step 4: Simplify right side
    633.72x = 538,580.54
  5. Step 5: Solve for x
    x = 538,580.54/633.72
  6. Step 6: Final answer
    x = 849.87

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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.