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Finding the Fourth Proportional to 659.75, 992.05 and 606.29

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Solution

The fourth proportional to 659.75, 992.05 and 606.29 is: 911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.75 : 992.05 = 606.29 : x
  2. Step 2: Convert to fraction form
    659.75/992.05 = 606.29/x
  3. Step 3: Cross multiply
    659.75x = 992.05 × 606.29
  4. Step 4: Simplify right side
    659.75x = 601,463.52
  5. Step 5: Solve for x
    x = 601,463.52/659.75
  6. Step 6: Final answer
    x = 911.66

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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.