Home / 1,353.10-2,027.82-659.68

Finding the Fourth Proportional to 1,353.10, 2,027.82 and 659.68

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Solution

The fourth proportional to 1,353.10, 2,027.82 and 659.68 is: 988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.10 : 2,027.82 = 659.68 : x
  2. Step 2: Convert to fraction form
    1,353.10/2,027.82 = 659.68/x
  3. Step 3: Cross multiply
    1,353.10x = 2,027.82 × 659.68
  4. Step 4: Simplify right side
    1,353.10x = 1,337,712.30
  5. Step 5: Solve for x
    x = 1,337,712.30/1,353.10
  6. Step 6: Final answer
    x = 988.63

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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.