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Finding the Fourth Proportional to 2,343.18, 3,515.43 and 699.80

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Solution

The fourth proportional to 2,343.18, 3,515.43 and 699.80 is: 1,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.18 : 3,515.43 = 699.80 : x
  2. Step 2: Convert to fraction form
    2,343.18/3,515.43 = 699.80/x
  3. Step 3: Cross multiply
    2,343.18x = 3,515.43 × 699.80
  4. Step 4: Simplify right side
    2,343.18x = 2,460,082.96
  5. Step 5: Solve for x
    x = 2,460,082.96/2,343.18
  6. Step 6: Final answer
    x = 1,049.89

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