Home / 1,027.62-1,541.49-297.20

Finding the Fourth Proportional to 1,027.62, 1,541.49 and 297.20

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Solution

The fourth proportional to 1,027.62, 1,541.49 and 297.20 is: 445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.62 : 1,541.49 = 297.20 : x
  2. Step 2: Convert to fraction form
    1,027.62/1,541.49 = 297.20/x
  3. Step 3: Cross multiply
    1,027.62x = 1,541.49 × 297.20
  4. Step 4: Simplify right side
    1,027.62x = 458,130.83
  5. Step 5: Solve for x
    x = 458,130.83/1,027.62
  6. Step 6: Final answer
    x = 445.82

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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.