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Finding the Fourth Proportional to 605.98, 909.43 and 328.35

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Solution

The fourth proportional to 605.98, 909.43 and 328.35 is: 492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.98 : 909.43 = 328.35 : x
  2. Step 2: Convert to fraction form
    605.98/909.43 = 328.35/x
  3. Step 3: Cross multiply
    605.98x = 909.43 × 328.35
  4. Step 4: Simplify right side
    605.98x = 298,613.93
  5. Step 5: Solve for x
    x = 298,613.93/605.98
  6. Step 6: Final answer
    x = 492.78

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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.