Home / 1,028.12-1,542.29-334.76

Finding the Fourth Proportional to 1,028.12, 1,542.29 and 334.76

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Solution

The fourth proportional to 1,028.12, 1,542.29 and 334.76 is: 502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.12 : 1,542.29 = 334.76 : x
  2. Step 2: Convert to fraction form
    1,028.12/1,542.29 = 334.76/x
  3. Step 3: Cross multiply
    1,028.12x = 1,542.29 × 334.76
  4. Step 4: Simplify right side
    1,028.12x = 516,287.62
  5. Step 5: Solve for x
    x = 516,287.62/1,028.12
  6. Step 6: Final answer
    x = 502.17

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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.