Home / 1,458.03-2,188.13-809.31

Finding the Fourth Proportional to 1,458.03, 2,188.13 and 809.31

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Solution

The fourth proportional to 1,458.03, 2,188.13 and 809.31 is: 1,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.03 : 2,188.13 = 809.31 : x
  2. Step 2: Convert to fraction form
    1,458.03/2,188.13 = 809.31/x
  3. Step 3: Cross multiply
    1,458.03x = 2,188.13 × 809.31
  4. Step 4: Simplify right side
    1,458.03x = 1,770,871.44
  5. Step 5: Solve for x
    x = 1,770,871.44/1,458.03
  6. Step 6: Final answer
    x = 1,214.56

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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.