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Finding the Fourth Proportional to 662.38, 914.16 and 367.67

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Solution

The fourth proportional to 662.38, 914.16 and 367.67 is: 507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.38 : 914.16 = 367.67 : x
  2. Step 2: Convert to fraction form
    662.38/914.16 = 367.67/x
  3. Step 3: Cross multiply
    662.38x = 914.16 × 367.67
  4. Step 4: Simplify right side
    662.38x = 336,106.70
  5. Step 5: Solve for x
    x = 336,106.70/662.38
  6. Step 6: Final answer
    x = 507.42

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Double scale
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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.