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Finding the Fourth Proportional to 605.98, 840.07 and 574.80

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Solution

The fourth proportional to 605.98, 840.07 and 574.80 is: 796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.98 : 840.07 = 574.80 : x
  2. Step 2: Convert to fraction form
    605.98/840.07 = 574.80/x
  3. Step 3: Cross multiply
    605.98x = 840.07 × 574.80
  4. Step 4: Simplify right side
    605.98x = 482,869.80
  5. Step 5: Solve for x
    x = 482,869.80/605.98
  6. Step 6: Final answer
    x = 796.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.