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Finding the Fourth Proportional to 573.45, 789.42 and 495.78

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Solution

The fourth proportional to 573.45, 789.42 and 495.78 is: 682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.45 : 789.42 = 495.78 : x
  2. Step 2: Convert to fraction form
    573.45/789.42 = 495.78/x
  3. Step 3: Cross multiply
    573.45x = 789.42 × 495.78
  4. Step 4: Simplify right side
    573.45x = 391,378.65
  5. Step 5: Solve for x
    x = 391,378.65/573.45
  6. Step 6: Final answer
    x = 682.50

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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.