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Finding the Fourth Proportional to 633.16, 872.76 and 475.84

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Solution

The fourth proportional to 633.16, 872.76 and 475.84 is: 655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.16 : 872.76 = 475.84 : x
  2. Step 2: Convert to fraction form
    633.16/872.76 = 475.84/x
  3. Step 3: Cross multiply
    633.16x = 872.76 × 475.84
  4. Step 4: Simplify right side
    633.16x = 415,294.12
  5. Step 5: Solve for x
    x = 415,294.12/633.16
  6. Step 6: Final answer
    x = 655.91

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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.