Home / 1,456.08-2,180.64-805.20

Finding the Fourth Proportional to 1,456.08, 2,180.64 and 805.20

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Solution

The fourth proportional to 1,456.08, 2,180.64 and 805.20 is: 1,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.08 : 2,180.64 = 805.20 : x
  2. Step 2: Convert to fraction form
    1,456.08/2,180.64 = 805.20/x
  3. Step 3: Cross multiply
    1,456.08x = 2,180.64 × 805.20
  4. Step 4: Simplify right side
    1,456.08x = 1,755,851.33
  5. Step 5: Solve for x
    x = 1,755,851.33/1,456.08
  6. Step 6: Final answer
    x = 1,205.88

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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.