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Finding the Fourth Proportional to 1,073.37, 1,610.25 and 415.20

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Solution

The fourth proportional to 1,073.37, 1,610.25 and 415.20 is: 622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.37 : 1,610.25 = 415.20 : x
  2. Step 2: Convert to fraction form
    1,073.37/1,610.25 = 415.20/x
  3. Step 3: Cross multiply
    1,073.37x = 1,610.25 × 415.20
  4. Step 4: Simplify right side
    1,073.37x = 668,575.80
  5. Step 5: Solve for x
    x = 668,575.80/1,073.37
  6. Step 6: Final answer
    x = 622.88

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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.