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Finding the Fourth Proportional to 578.14, 871.11 and 477.67

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Solution

The fourth proportional to 578.14, 871.11 and 477.67 is: 719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.14 : 871.11 = 477.67 : x
  2. Step 2: Convert to fraction form
    578.14/871.11 = 477.67/x
  3. Step 3: Cross multiply
    578.14x = 871.11 × 477.67
  4. Step 4: Simplify right side
    578.14x = 416,103.11
  5. Step 5: Solve for x
    x = 416,103.11/578.14
  6. Step 6: Final answer
    x = 719.73

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.