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Finding the Fourth Proportional to 649.35, 897.41 and 491.94

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Solution

The fourth proportional to 649.35, 897.41 and 491.94 is: 679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.35 : 897.41 = 491.94 : x
  2. Step 2: Convert to fraction form
    649.35/897.41 = 491.94/x
  3. Step 3: Cross multiply
    649.35x = 897.41 × 491.94
  4. Step 4: Simplify right side
    649.35x = 441,473.11
  5. Step 5: Solve for x
    x = 441,473.11/649.35
  6. Step 6: Final answer
    x = 679.87

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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.