Home / 1,427.20-2,140.80-657.28

Finding the Fourth Proportional to 1,427.20, 2,140.80 and 657.28

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Solution

The fourth proportional to 1,427.20, 2,140.80 and 657.28 is: 985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.20 : 2,140.80 = 657.28 : x
  2. Step 2: Convert to fraction form
    1,427.20/2,140.80 = 657.28/x
  3. Step 3: Cross multiply
    1,427.20x = 2,140.80 × 657.28
  4. Step 4: Simplify right side
    1,427.20x = 1,407,105.02
  5. Step 5: Solve for x
    x = 1,407,105.02/1,427.20
  6. Step 6: Final answer
    x = 985.92

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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.