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Finding the Fourth Proportional to 1,659.85, 2,489.96 and 620.35

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Solution

The fourth proportional to 1,659.85, 2,489.96 and 620.35 is: 930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.85 : 2,489.96 = 620.35 : x
  2. Step 2: Convert to fraction form
    1,659.85/2,489.96 = 620.35/x
  3. Step 3: Cross multiply
    1,659.85x = 2,489.96 × 620.35
  4. Step 4: Simplify right side
    1,659.85x = 1,544,643.58
  5. Step 5: Solve for x
    x = 1,544,643.58/1,659.85
  6. Step 6: Final answer
    x = 930.59

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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.