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Finding the Fourth Proportional to 565.45, 845.90 and 489.23

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Solution

The fourth proportional to 565.45, 845.90 and 489.23 is: 731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.45 : 845.90 = 489.23 : x
  2. Step 2: Convert to fraction form
    565.45/845.90 = 489.23/x
  3. Step 3: Cross multiply
    565.45x = 845.90 × 489.23
  4. Step 4: Simplify right side
    565.45x = 413,839.66
  5. Step 5: Solve for x
    x = 413,839.66/565.45
  6. Step 6: Final answer
    x = 731.88

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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.