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Finding the Fourth Proportional to 843.01, 1,262.83 and 659.54

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Solution

The fourth proportional to 843.01, 1,262.83 and 659.54 is: 987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.01 : 1,262.83 = 659.54 : x
  2. Step 2: Convert to fraction form
    843.01/1,262.83 = 659.54/x
  3. Step 3: Cross multiply
    843.01x = 1,262.83 × 659.54
  4. Step 4: Simplify right side
    843.01x = 832,886.90
  5. Step 5: Solve for x
    x = 832,886.90/843.01
  6. Step 6: Final answer
    x = 987.99

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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.