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Finding the Fourth Proportional to 1,143.70, 1,578.32 and 619.73

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Solution

The fourth proportional to 1,143.70, 1,578.32 and 619.73 is: 855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.70 : 1,578.32 = 619.73 : x
  2. Step 2: Convert to fraction form
    1,143.70/1,578.32 = 619.73/x
  3. Step 3: Cross multiply
    1,143.70x = 1,578.32 × 619.73
  4. Step 4: Simplify right side
    1,143.70x = 978,132.25
  5. Step 5: Solve for x
    x = 978,132.25/1,143.70
  6. Step 6: Final answer
    x = 855.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.