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Finding the Fourth Proportional to 633.67, 872.85 and 446.85

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Solution

The fourth proportional to 633.67, 872.85 and 446.85 is: 615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.67 : 872.85 = 446.85 : x
  2. Step 2: Convert to fraction form
    633.67/872.85 = 446.85/x
  3. Step 3: Cross multiply
    633.67x = 872.85 × 446.85
  4. Step 4: Simplify right side
    633.67x = 390,033.02
  5. Step 5: Solve for x
    x = 390,033.02/633.67
  6. Step 6: Final answer
    x = 615.51

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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.