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Finding the Fourth Proportional to 1,028.85, 1,542.78 and 412.04

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Solution

The fourth proportional to 1,028.85, 1,542.78 and 412.04 is: 617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.85 : 1,542.78 = 412.04 : x
  2. Step 2: Convert to fraction form
    1,028.85/1,542.78 = 412.04/x
  3. Step 3: Cross multiply
    1,028.85x = 1,542.78 × 412.04
  4. Step 4: Simplify right side
    1,028.85x = 635,679.36
  5. Step 5: Solve for x
    x = 635,679.36/1,028.85
  6. Step 6: Final answer
    x = 617.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.