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Finding the Fourth Proportional to 1,057.27, 1,577.88 and 1,032.70

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Solution

The fourth proportional to 1,057.27, 1,577.88 and 1,032.70 is: 1,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.27 : 1,577.88 = 1,032.70 : x
  2. Step 2: Convert to fraction form
    1,057.27/1,577.88 = 1,032.70/x
  3. Step 3: Cross multiply
    1,057.27x = 1,577.88 × 1,032.70
  4. Step 4: Simplify right side
    1,057.27x = 1,629,471.51
  5. Step 5: Solve for x
    x = 1,629,471.51/1,057.27
  6. Step 6: Final answer
    x = 1,541.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.