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Finding the Fourth Proportional to 2,159.66, 3,239.39 and 620.66

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Solution

The fourth proportional to 2,159.66, 3,239.39 and 620.66 is: 930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.66 : 3,239.39 = 620.66 : x
  2. Step 2: Convert to fraction form
    2,159.66/3,239.39 = 620.66/x
  3. Step 3: Cross multiply
    2,159.66x = 3,239.39 × 620.66
  4. Step 4: Simplify right side
    2,159.66x = 2,010,559.80
  5. Step 5: Solve for x
    x = 2,010,559.80/2,159.66
  6. Step 6: Final answer
    x = 930.96

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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.