Home / 1,028.13-1,542.29-334.77

Finding the Fourth Proportional to 1,028.13, 1,542.29 and 334.77

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Solution

The fourth proportional to 1,028.13, 1,542.29 and 334.77 is: 502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.13 : 1,542.29 = 334.77 : x
  2. Step 2: Convert to fraction form
    1,028.13/1,542.29 = 334.77/x
  3. Step 3: Cross multiply
    1,028.13x = 1,542.29 × 334.77
  4. Step 4: Simplify right side
    1,028.13x = 516,310.75
  5. Step 5: Solve for x
    x = 516,310.75/1,028.13
  6. Step 6: Final answer
    x = 502.18

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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.