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Finding the Fourth Proportional to 1,379, 2,066.88 and 762.38

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Solution

The fourth proportional to 1,379, 2,066.88 and 762.38 is: 1,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379 : 2,066.88 = 762.38 : x
  2. Step 2: Convert to fraction form
    1,379/2,066.88 = 762.38/x
  3. Step 3: Cross multiply
    1,379x = 2,066.88 × 762.38
  4. Step 4: Simplify right side
    1,379x = 1,575,747.97
  5. Step 5: Solve for x
    x = 1,575,747.97/1,379
  6. Step 6: Final answer
    x = 1,142.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.