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Finding the Fourth Proportional to 1,238.88, 1,856.53 and 683.70

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Solution

The fourth proportional to 1,238.88, 1,856.53 and 683.70 is: 1,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.88 : 1,856.53 = 683.70 : x
  2. Step 2: Convert to fraction form
    1,238.88/1,856.53 = 683.70/x
  3. Step 3: Cross multiply
    1,238.88x = 1,856.53 × 683.70
  4. Step 4: Simplify right side
    1,238.88x = 1,269,306.75
  5. Step 5: Solve for x
    x = 1,269,306.75/1,238.88
  6. Step 6: Final answer
    x = 1,024.56

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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.