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Finding the Fourth Proportional to 1,057.11, 1,445.87 and 1,040.10

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Solution

The fourth proportional to 1,057.11, 1,445.87 and 1,040.10 is: 1,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.11 : 1,445.87 = 1,040.10 : x
  2. Step 2: Convert to fraction form
    1,057.11/1,445.87 = 1,040.10/x
  3. Step 3: Cross multiply
    1,057.11x = 1,445.87 × 1,040.10
  4. Step 4: Simplify right side
    1,057.11x = 1,503,844.19
  5. Step 5: Solve for x
    x = 1,503,844.19/1,057.11
  6. Step 6: Final answer
    x = 1,422.60

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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.