Home / 1,027.68-1,541.34-297.06

Finding the Fourth Proportional to 1,027.68, 1,541.34 and 297.06

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Solution

The fourth proportional to 1,027.68, 1,541.34 and 297.06 is: 445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.68 : 1,541.34 = 297.06 : x
  2. Step 2: Convert to fraction form
    1,027.68/1,541.34 = 297.06/x
  3. Step 3: Cross multiply
    1,027.68x = 1,541.34 × 297.06
  4. Step 4: Simplify right side
    1,027.68x = 457,870.46
  5. Step 5: Solve for x
    x = 457,870.46/1,027.68
  6. Step 6: Final answer
    x = 445.54

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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.