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Finding the Fourth Proportional to 1,052.26, 1,569.19 and 1,027.42

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Solution

The fourth proportional to 1,052.26, 1,569.19 and 1,027.42 is: 1,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.26 : 1,569.19 = 1,027.42 : x
  2. Step 2: Convert to fraction form
    1,052.26/1,569.19 = 1,027.42/x
  3. Step 3: Cross multiply
    1,052.26x = 1,569.19 × 1,027.42
  4. Step 4: Simplify right side
    1,052.26x = 1,612,212.05
  5. Step 5: Solve for x
    x = 1,612,212.05/1,052.26
  6. Step 6: Final answer
    x = 1,532.14

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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.