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Finding the Fourth Proportional to 605.61, 902.41 and 582.39

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Solution

The fourth proportional to 605.61, 902.41 and 582.39 is: 867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.61 : 902.41 = 582.39 : x
  2. Step 2: Convert to fraction form
    605.61/902.41 = 582.39/x
  3. Step 3: Cross multiply
    605.61x = 902.41 × 582.39
  4. Step 4: Simplify right side
    605.61x = 525,553.10
  5. Step 5: Solve for x
    x = 525,553.10/605.61
  6. Step 6: Final answer
    x = 867.81

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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.