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Finding the Fourth Proportional to 649.03, 894.62 and 439.14

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Solution

The fourth proportional to 649.03, 894.62 and 439.14 is: 605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.03 : 894.62 = 439.14 : x
  2. Step 2: Convert to fraction form
    649.03/894.62 = 439.14/x
  3. Step 3: Cross multiply
    649.03x = 894.62 × 439.14
  4. Step 4: Simplify right side
    649.03x = 392,863.43
  5. Step 5: Solve for x
    x = 392,863.43/649.03
  6. Step 6: Final answer
    x = 605.31

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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.