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Finding the Fourth Proportional to 605.98, 905.55 and 489.34

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Solution

The fourth proportional to 605.98, 905.55 and 489.34 is: 731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.98 : 905.55 = 489.34 : x
  2. Step 2: Convert to fraction form
    605.98/905.55 = 489.34/x
  3. Step 3: Cross multiply
    605.98x = 905.55 × 489.34
  4. Step 4: Simplify right side
    605.98x = 443,125.26
  5. Step 5: Solve for x
    x = 443,125.26/605.98
  6. Step 6: Final answer
    x = 731.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.