Home / 1,460.33-2,187.01-809.45

Finding the Fourth Proportional to 1,460.33, 2,187.01 and 809.45

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Solution

The fourth proportional to 1,460.33, 2,187.01 and 809.45 is: 1,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.33 : 2,187.01 = 809.45 : x
  2. Step 2: Convert to fraction form
    1,460.33/2,187.01 = 809.45/x
  3. Step 3: Cross multiply
    1,460.33x = 2,187.01 × 809.45
  4. Step 4: Simplify right side
    1,460.33x = 1,770,275.24
  5. Step 5: Solve for x
    x = 1,770,275.24/1,460.33
  6. Step 6: Final answer
    x = 1,212.24

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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.