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Finding the Fourth Proportional to 659.86, 987.42 and 486.12

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Solution

The fourth proportional to 659.86, 987.42 and 486.12 is: 727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.86 : 987.42 = 486.12 : x
  2. Step 2: Convert to fraction form
    659.86/987.42 = 486.12/x
  3. Step 3: Cross multiply
    659.86x = 987.42 × 486.12
  4. Step 4: Simplify right side
    659.86x = 480,004.61
  5. Step 5: Solve for x
    x = 480,004.61/659.86
  6. Step 6: Final answer
    x = 727.43

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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.