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Finding the Fourth Proportional to 649.09, 901.97 and 642.43

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Solution

The fourth proportional to 649.09, 901.97 and 642.43 is: 892.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.09 : 901.97 = 642.43 : x
  2. Step 2: Convert to fraction form
    649.09/901.97 = 642.43/x
  3. Step 3: Cross multiply
    649.09x = 901.97 × 642.43
  4. Step 4: Simplify right side
    649.09x = 579,452.59
  5. Step 5: Solve for x
    x = 579,452.59/649.09
  6. Step 6: Final answer
    x = 892.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.