Home / 1,028.36-1,542.68-334.90

Finding the Fourth Proportional to 1,028.36, 1,542.68 and 334.90

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Solution

The fourth proportional to 1,028.36, 1,542.68 and 334.90 is: 502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.36 : 1,542.68 = 334.90 : x
  2. Step 2: Convert to fraction form
    1,028.36/1,542.68 = 334.90/x
  3. Step 3: Cross multiply
    1,028.36x = 1,542.68 × 334.90
  4. Step 4: Simplify right side
    1,028.36x = 516,643.53
  5. Step 5: Solve for x
    x = 516,643.53/1,028.36
  6. Step 6: Final answer
    x = 502.40

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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.