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Finding the Fourth Proportional to 655.88, 905.69 and 489.81

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Solution

The fourth proportional to 655.88, 905.69 and 489.81 is: 676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.88 : 905.69 = 489.81 : x
  2. Step 2: Convert to fraction form
    655.88/905.69 = 489.81/x
  3. Step 3: Cross multiply
    655.88x = 905.69 × 489.81
  4. Step 4: Simplify right side
    655.88x = 443,616.02
  5. Step 5: Solve for x
    x = 443,616.02/655.88
  6. Step 6: Final answer
    x = 676.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.