Home / 1,460.26-2,186.55-807.70

Finding the Fourth Proportional to 1,460.26, 2,186.55 and 807.70

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Solution

The fourth proportional to 1,460.26, 2,186.55 and 807.70 is: 1,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.26 : 2,186.55 = 807.70 : x
  2. Step 2: Convert to fraction form
    1,460.26/2,186.55 = 807.70/x
  3. Step 3: Cross multiply
    1,460.26x = 2,186.55 × 807.70
  4. Step 4: Simplify right side
    1,460.26x = 1,766,076.44
  5. Step 5: Solve for x
    x = 1,766,076.44/1,460.26
  6. Step 6: Final answer
    x = 1,209.43

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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.