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Finding the Fourth Proportional to 1,052.78, 1,571.20 and 1,028.18

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Solution

The fourth proportional to 1,052.78, 1,571.20 and 1,028.18 is: 1,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.78 : 1,571.20 = 1,028.18 : x
  2. Step 2: Convert to fraction form
    1,052.78/1,571.20 = 1,028.18/x
  3. Step 3: Cross multiply
    1,052.78x = 1,571.20 × 1,028.18
  4. Step 4: Simplify right side
    1,052.78x = 1,615,476.42
  5. Step 5: Solve for x
    x = 1,615,476.42/1,052.78
  6. Step 6: Final answer
    x = 1,534.49

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Why These Related Problems?

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