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Finding the Fourth Proportional to 1,679.70, 2,519.19 and 524.82

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Solution

The fourth proportional to 1,679.70, 2,519.19 and 524.82 is: 787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.70 : 2,519.19 = 524.82 : x
  2. Step 2: Convert to fraction form
    1,679.70/2,519.19 = 524.82/x
  3. Step 3: Cross multiply
    1,679.70x = 2,519.19 × 524.82
  4. Step 4: Simplify right side
    1,679.70x = 1,322,121.30
  5. Step 5: Solve for x
    x = 1,322,121.30/1,679.70
  6. Step 6: Final answer
    x = 787.12

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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.