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Finding the Fourth Proportional to 649.22, 894.99 and 462.64

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Solution

The fourth proportional to 649.22, 894.99 and 462.64 is: 637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.22 : 894.99 = 462.64 : x
  2. Step 2: Convert to fraction form
    649.22/894.99 = 462.64/x
  3. Step 3: Cross multiply
    649.22x = 894.99 × 462.64
  4. Step 4: Simplify right side
    649.22x = 414,059.29
  5. Step 5: Solve for x
    x = 414,059.29/649.22
  6. Step 6: Final answer
    x = 637.78

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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.