Home / 1,027.97-1,541.86-442.95

Finding the Fourth Proportional to 1,027.97, 1,541.86 and 442.95

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Solution

The fourth proportional to 1,027.97, 1,541.86 and 442.95 is: 664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.97 : 1,541.86 = 442.95 : x
  2. Step 2: Convert to fraction form
    1,027.97/1,541.86 = 442.95/x
  3. Step 3: Cross multiply
    1,027.97x = 1,541.86 × 442.95
  4. Step 4: Simplify right side
    1,027.97x = 682,968.67
  5. Step 5: Solve for x
    x = 682,968.67/1,027.97
  6. Step 6: Final answer
    x = 664.38

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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.