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Finding the Fourth Proportional to 868.82, 1,199.00 and 475.83

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Solution

The fourth proportional to 868.82, 1,199.00 and 475.83 is: 656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.82 : 1,199.00 = 475.83 : x
  2. Step 2: Convert to fraction form
    868.82/1,199.00 = 475.83/x
  3. Step 3: Cross multiply
    868.82x = 1,199.00 × 475.83
  4. Step 4: Simplify right side
    868.82x = 570,521.36
  5. Step 5: Solve for x
    x = 570,521.36/868.82
  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.