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Finding the Fourth Proportional to 659.07, 987.69 and 247.80

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Solution

The fourth proportional to 659.07, 987.69 and 247.80 is: 371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.07 : 987.69 = 247.80 : x
  2. Step 2: Convert to fraction form
    659.07/987.69 = 247.80/x
  3. Step 3: Cross multiply
    659.07x = 987.69 × 247.80
  4. Step 4: Simplify right side
    659.07x = 244,749.58
  5. Step 5: Solve for x
    x = 244,749.58/659.07
  6. Step 6: Final answer
    x = 371.36

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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.