Home / 1,280.08-1,921.56-511.12

Finding the Fourth Proportional to 1,280.08, 1,921.56 and 511.12

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Solution

The fourth proportional to 1,280.08, 1,921.56 and 511.12 is: 767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.08 : 1,921.56 = 511.12 : x
  2. Step 2: Convert to fraction form
    1,280.08/1,921.56 = 511.12/x
  3. Step 3: Cross multiply
    1,280.08x = 1,921.56 × 511.12
  4. Step 4: Simplify right side
    1,280.08x = 982,147.75
  5. Step 5: Solve for x
    x = 982,147.75/1,280.08
  6. Step 6: Final answer
    x = 767.25

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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.