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Finding the Fourth Proportional to 1,143.27, 1,577.72 and 619.30

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Solution

The fourth proportional to 1,143.27, 1,577.72 and 619.30 is: 854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.27 : 1,577.72 = 619.30 : x
  2. Step 2: Convert to fraction form
    1,143.27/1,577.72 = 619.30/x
  3. Step 3: Cross multiply
    1,143.27x = 1,577.72 × 619.30
  4. Step 4: Simplify right side
    1,143.27x = 977,078.90
  5. Step 5: Solve for x
    x = 977,078.90/1,143.27
  6. Step 6: Final answer
    x = 854.64

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