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Finding the Fourth Proportional to 649.80, 894.62 and 605.64

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Solution

The fourth proportional to 649.80, 894.62 and 605.64 is: 833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 894.62 = 605.64 : x
  2. Step 2: Convert to fraction form
    649.80/894.62 = 605.64/x
  3. Step 3: Cross multiply
    649.80x = 894.62 × 605.64
  4. Step 4: Simplify right side
    649.80x = 541,817.66
  5. Step 5: Solve for x
    x = 541,817.66/649.80
  6. Step 6: Final answer
    x = 833.82

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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.