Home / 1,550.13-2,325.80-820.18

Finding the Fourth Proportional to 1,550.13, 2,325.80 and 820.18

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Solution

The fourth proportional to 1,550.13, 2,325.80 and 820.18 is: 1,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.13 : 2,325.80 = 820.18 : x
  2. Step 2: Convert to fraction form
    1,550.13/2,325.80 = 820.18/x
  3. Step 3: Cross multiply
    1,550.13x = 2,325.80 × 820.18
  4. Step 4: Simplify right side
    1,550.13x = 1,907,574.64
  5. Step 5: Solve for x
    x = 1,907,574.64/1,550.13
  6. Step 6: Final answer
    x = 1,230.59

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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.