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Finding the Fourth Proportional to 1,139.89, 1,708.62 and 481.63

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Solution

The fourth proportional to 1,139.89, 1,708.62 and 481.63 is: 721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.89 : 1,708.62 = 481.63 : x
  2. Step 2: Convert to fraction form
    1,139.89/1,708.62 = 481.63/x
  3. Step 3: Cross multiply
    1,139.89x = 1,708.62 × 481.63
  4. Step 4: Simplify right side
    1,139.89x = 822,922.65
  5. Step 5: Solve for x
    x = 822,922.65/1,139.89
  6. Step 6: Final answer
    x = 721.93

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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.