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Finding the Fourth Proportional to 1,027.40, 1,540.80 and 297.02

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Solution

The fourth proportional to 1,027.40, 1,540.80 and 297.02 is: 445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.40 : 1,540.80 = 297.02 : x
  2. Step 2: Convert to fraction form
    1,027.40/1,540.80 = 297.02/x
  3. Step 3: Cross multiply
    1,027.40x = 1,540.80 × 297.02
  4. Step 4: Simplify right side
    1,027.40x = 457,648.42
  5. Step 5: Solve for x
    x = 457,648.42/1,027.40
  6. Step 6: Final answer
    x = 445.44

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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.