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Finding the Fourth Proportional to 1,343.67, 2,014.87 and 499.09

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Solution

The fourth proportional to 1,343.67, 2,014.87 and 499.09 is: 748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.67 : 2,014.87 = 499.09 : x
  2. Step 2: Convert to fraction form
    1,343.67/2,014.87 = 499.09/x
  3. Step 3: Cross multiply
    1,343.67x = 2,014.87 × 499.09
  4. Step 4: Simplify right side
    1,343.67x = 1,005,605.56
  5. Step 5: Solve for x
    x = 1,005,605.56/1,343.67
  6. Step 6: Final answer
    x = 748.40

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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.