Home / 1,376.42-2,066.13-822.33

Finding the Fourth Proportional to 1,376.42, 2,066.13 and 822.33

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Solution

The fourth proportional to 1,376.42, 2,066.13 and 822.33 is: 1,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.42 : 2,066.13 = 822.33 : x
  2. Step 2: Convert to fraction form
    1,376.42/2,066.13 = 822.33/x
  3. Step 3: Cross multiply
    1,376.42x = 2,066.13 × 822.33
  4. Step 4: Simplify right side
    1,376.42x = 1,699,040.68
  5. Step 5: Solve for x
    x = 1,699,040.68/1,376.42
  6. Step 6: Final answer
    x = 1,234.40

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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.