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Finding the Fourth Proportional to 649.96, 896.78 and 484.22

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Solution

The fourth proportional to 649.96, 896.78 and 484.22 is: 668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.96 : 896.78 = 484.22 : x
  2. Step 2: Convert to fraction form
    649.96/896.78 = 484.22/x
  3. Step 3: Cross multiply
    649.96x = 896.78 × 484.22
  4. Step 4: Simplify right side
    649.96x = 434,238.81
  5. Step 5: Solve for x
    x = 434,238.81/649.96
  6. Step 6: Final answer
    x = 668.10

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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.