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Finding the Fourth Proportional to 633.24, 872.82 and 485.64

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Solution

The fourth proportional to 633.24, 872.82 and 485.64 is: 669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.24 : 872.82 = 485.64 : x
  2. Step 2: Convert to fraction form
    633.24/872.82 = 485.64/x
  3. Step 3: Cross multiply
    633.24x = 872.82 × 485.64
  4. Step 4: Simplify right side
    633.24x = 423,876.30
  5. Step 5: Solve for x
    x = 423,876.30/633.24
  6. Step 6: Final answer
    x = 669.38

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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.