Home / 1,383.13-2,074.66-343.10

Finding the Fourth Proportional to 1,383.13, 2,074.66 and 343.10

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Solution

The fourth proportional to 1,383.13, 2,074.66 and 343.10 is: 514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.13 : 2,074.66 = 343.10 : x
  2. Step 2: Convert to fraction form
    1,383.13/2,074.66 = 343.10/x
  3. Step 3: Cross multiply
    1,383.13x = 2,074.66 × 343.10
  4. Step 4: Simplify right side
    1,383.13x = 711,822.10
  5. Step 5: Solve for x
    x = 711,822.10/1,383.13
  6. Step 6: Final answer
    x = 514.65

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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.