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Finding the Fourth Proportional to 649.77, 896.16 and 450.93

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Solution

The fourth proportional to 649.77, 896.16 and 450.93 is: 621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.77 : 896.16 = 450.93 : x
  2. Step 2: Convert to fraction form
    649.77/896.16 = 450.93/x
  3. Step 3: Cross multiply
    649.77x = 896.16 × 450.93
  4. Step 4: Simplify right side
    649.77x = 404,105.43
  5. Step 5: Solve for x
    x = 404,105.43/649.77
  6. Step 6: Final answer
    x = 621.92

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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.