Home / 1,027.56-1,541.46-297.14

Finding the Fourth Proportional to 1,027.56, 1,541.46 and 297.14

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Solution

The fourth proportional to 1,027.56, 1,541.46 and 297.14 is: 445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.56 : 1,541.46 = 297.14 : x
  2. Step 2: Convert to fraction form
    1,027.56/1,541.46 = 297.14/x
  3. Step 3: Cross multiply
    1,027.56x = 1,541.46 × 297.14
  4. Step 4: Simplify right side
    1,027.56x = 458,027.94
  5. Step 5: Solve for x
    x = 458,027.94/1,027.56
  6. Step 6: Final answer
    x = 445.74

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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.