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Finding the Fourth Proportional to 1,028.19, 1,542.63 and 541.11

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Solution

The fourth proportional to 1,028.19, 1,542.63 and 541.11 is: 811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.19 : 1,542.63 = 541.11 : x
  2. Step 2: Convert to fraction form
    1,028.19/1,542.63 = 541.11/x
  3. Step 3: Cross multiply
    1,028.19x = 1,542.63 × 541.11
  4. Step 4: Simplify right side
    1,028.19x = 834,732.52
  5. Step 5: Solve for x
    x = 834,732.52/1,028.19
  6. Step 6: Final answer
    x = 811.85

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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.