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Finding the Fourth Proportional to 633.12, 873.57 and 475.92

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Solution

The fourth proportional to 633.12, 873.57 and 475.92 is: 656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.12 : 873.57 = 475.92 : x
  2. Step 2: Convert to fraction form
    633.12/873.57 = 475.92/x
  3. Step 3: Cross multiply
    633.12x = 873.57 × 475.92
  4. Step 4: Simplify right side
    633.12x = 415,749.43
  5. Step 5: Solve for x
    x = 415,749.43/633.12
  6. Step 6: Final answer
    x = 656.67

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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.