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Finding the Fourth Proportional to 1,149.12, 1,578.72 and 1,010.88

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Solution

The fourth proportional to 1,149.12, 1,578.72 and 1,010.88 is: 1,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.12 : 1,578.72 = 1,010.88 : x
  2. Step 2: Convert to fraction form
    1,149.12/1,578.72 = 1,010.88/x
  3. Step 3: Cross multiply
    1,149.12x = 1,578.72 × 1,010.88
  4. Step 4: Simplify right side
    1,149.12x = 1,595,896.47
  5. Step 5: Solve for x
    x = 1,595,896.47/1,149.12
  6. Step 6: Final answer
    x = 1,388.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.