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Finding the Fourth Proportional to 649.75, 971.66 and 485.33

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Solution

The fourth proportional to 649.75, 971.66 and 485.33 is: 725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.75 : 971.66 = 485.33 : x
  2. Step 2: Convert to fraction form
    649.75/971.66 = 485.33/x
  3. Step 3: Cross multiply
    649.75x = 971.66 × 485.33
  4. Step 4: Simplify right side
    649.75x = 471,575.75
  5. Step 5: Solve for x
    x = 471,575.75/649.75
  6. Step 6: Final answer
    x = 725.78

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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.