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Finding the Fourth Proportional to 1,150.71, 1,577.22 and 1,109.14

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Solution

The fourth proportional to 1,150.71, 1,577.22 and 1,109.14 is: 1,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.71 : 1,577.22 = 1,109.14 : x
  2. Step 2: Convert to fraction form
    1,150.71/1,577.22 = 1,109.14/x
  3. Step 3: Cross multiply
    1,150.71x = 1,577.22 × 1,109.14
  4. Step 4: Simplify right side
    1,150.71x = 1,749,364.80
  5. Step 5: Solve for x
    x = 1,749,364.80/1,150.71
  6. Step 6: Final answer
    x = 1,520.25

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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.