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Finding the Fourth Proportional to 649.42, 894.39 and 647.44

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Solution

The fourth proportional to 649.42, 894.39 and 647.44 is: 891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.42 : 894.39 = 647.44 : x
  2. Step 2: Convert to fraction form
    649.42/894.39 = 647.44/x
  3. Step 3: Cross multiply
    649.42x = 894.39 × 647.44
  4. Step 4: Simplify right side
    649.42x = 579,067.87
  5. Step 5: Solve for x
    x = 579,067.87/649.42
  6. Step 6: Final answer
    x = 891.67

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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.