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Finding the Fourth Proportional to 1,027.26, 1,540.92 and 297

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Solution

The fourth proportional to 1,027.26, 1,540.92 and 297 is: 445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.26 : 1,540.92 = 297 : x
  2. Step 2: Convert to fraction form
    1,027.26/1,540.92 = 297/x
  3. Step 3: Cross multiply
    1,027.26x = 1,540.92 × 297
  4. Step 4: Simplify right side
    1,027.26x = 457,653.24
  5. Step 5: Solve for x
    x = 457,653.24/1,027.26
  6. Step 6: Final answer
    x = 445.51

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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.