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Finding the Fourth Proportional to 649.44, 973.39 and 454.14

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Solution

The fourth proportional to 649.44, 973.39 and 454.14 is: 680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.44 : 973.39 = 454.14 : x
  2. Step 2: Convert to fraction form
    649.44/973.39 = 454.14/x
  3. Step 3: Cross multiply
    649.44x = 973.39 × 454.14
  4. Step 4: Simplify right side
    649.44x = 442,057.56
  5. Step 5: Solve for x
    x = 442,057.56/649.44
  6. Step 6: Final answer
    x = 680.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.