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Finding the Fourth Proportional to 649.81, 891.97 and 574.48

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Solution

The fourth proportional to 649.81, 891.97 and 574.48 is: 788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.81 : 891.97 = 574.48 : x
  2. Step 2: Convert to fraction form
    649.81/891.97 = 574.48/x
  3. Step 3: Cross multiply
    649.81x = 891.97 × 574.48
  4. Step 4: Simplify right side
    649.81x = 512,416.05
  5. Step 5: Solve for x
    x = 512,416.05/649.81
  6. Step 6: Final answer
    x = 788.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.