Home / 1,028.40-1,543.80-664.70

Finding the Fourth Proportional to 1,028.40, 1,543.80 and 664.70

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Solution

The fourth proportional to 1,028.40, 1,543.80 and 664.70 is: 997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.40 : 1,543.80 = 664.70 : x
  2. Step 2: Convert to fraction form
    1,028.40/1,543.80 = 664.70/x
  3. Step 3: Cross multiply
    1,028.40x = 1,543.80 × 664.70
  4. Step 4: Simplify right side
    1,028.40x = 1,026,163.86
  5. Step 5: Solve for x
    x = 1,026,163.86/1,028.40
  6. Step 6: Final answer
    x = 997.83

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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.