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Finding the Fourth Proportional to 1,028.05, 1,542.06 and 258.55

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Solution

The fourth proportional to 1,028.05, 1,542.06 and 258.55 is: 387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.05 : 1,542.06 = 258.55 : x
  2. Step 2: Convert to fraction form
    1,028.05/1,542.06 = 258.55/x
  3. Step 3: Cross multiply
    1,028.05x = 1,542.06 × 258.55
  4. Step 4: Simplify right side
    1,028.05x = 398,699.61
  5. Step 5: Solve for x
    x = 398,699.61/1,028.05
  6. Step 6: Final answer
    x = 387.82

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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.