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Finding the Fourth Proportional to 1,028.77, 1,542.96 and 335.33

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Solution

The fourth proportional to 1,028.77, 1,542.96 and 335.33 is: 502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.77 : 1,542.96 = 335.33 : x
  2. Step 2: Convert to fraction form
    1,028.77/1,542.96 = 335.33/x
  3. Step 3: Cross multiply
    1,028.77x = 1,542.96 × 335.33
  4. Step 4: Simplify right side
    1,028.77x = 517,400.78
  5. Step 5: Solve for x
    x = 517,400.78/1,028.77
  6. Step 6: Final answer
    x = 502.93

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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.