Home / 1,028.25-1,542.89-412.13

Finding the Fourth Proportional to 1,028.25, 1,542.89 and 412.13

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Solution

The fourth proportional to 1,028.25, 1,542.89 and 412.13 is: 618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.25 : 1,542.89 = 412.13 : x
  2. Step 2: Convert to fraction form
    1,028.25/1,542.89 = 412.13/x
  3. Step 3: Cross multiply
    1,028.25x = 1,542.89 × 412.13
  4. Step 4: Simplify right side
    1,028.25x = 635,861.48
  5. Step 5: Solve for x
    x = 635,861.48/1,028.25
  6. Step 6: Final answer
    x = 618.39

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Half scale
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Double scale
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1.5x scale

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.