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Finding the Fourth Proportional to 866.21, 1,296.98 and 659.79

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Solution

The fourth proportional to 866.21, 1,296.98 and 659.79 is: 987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.21 : 1,296.98 = 659.79 : x
  2. Step 2: Convert to fraction form
    866.21/1,296.98 = 659.79/x
  3. Step 3: Cross multiply
    866.21x = 1,296.98 × 659.79
  4. Step 4: Simplify right side
    866.21x = 855,733.61
  5. Step 5: Solve for x
    x = 855,733.61/866.21
  6. Step 6: Final answer
    x = 987.91

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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.