Home / 1,028.17-1,543.20-412.30

Finding the Fourth Proportional to 1,028.17, 1,543.20 and 412.30

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Solution

The fourth proportional to 1,028.17, 1,543.20 and 412.30 is: 618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.17 : 1,543.20 = 412.30 : x
  2. Step 2: Convert to fraction form
    1,028.17/1,543.20 = 412.30/x
  3. Step 3: Cross multiply
    1,028.17x = 1,543.20 × 412.30
  4. Step 4: Simplify right side
    1,028.17x = 636,261.36
  5. Step 5: Solve for x
    x = 636,261.36/1,028.17
  6. Step 6: Final answer
    x = 618.83

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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.