Home / 1,028.50-1,541.76-412.24

Finding the Fourth Proportional to 1,028.50, 1,541.76 and 412.24

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Solution

The fourth proportional to 1,028.50, 1,541.76 and 412.24 is: 617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.50 : 1,541.76 = 412.24 : x
  2. Step 2: Convert to fraction form
    1,028.50/1,541.76 = 412.24/x
  3. Step 3: Cross multiply
    1,028.50x = 1,541.76 × 412.24
  4. Step 4: Simplify right side
    1,028.50x = 635,575.14
  5. Step 5: Solve for x
    x = 635,575.14/1,028.50
  6. Step 6: Final answer
    x = 617.96

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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.