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Finding the Fourth Proportional to 1,143.56, 1,578.12 and 619.59

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Solution

The fourth proportional to 1,143.56, 1,578.12 and 619.59 is: 855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.56 : 1,578.12 = 619.59 : x
  2. Step 2: Convert to fraction form
    1,143.56/1,578.12 = 619.59/x
  3. Step 3: Cross multiply
    1,143.56x = 1,578.12 × 619.59
  4. Step 4: Simplify right side
    1,143.56x = 977,790.97
  5. Step 5: Solve for x
    x = 977,790.97/1,143.56
  6. Step 6: Final answer
    x = 855.04

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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.