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Finding the Fourth Proportional to 649.16, 894.90 and 493.64

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Solution

The fourth proportional to 649.16, 894.90 and 493.64 is: 680.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.16 : 894.90 = 493.64 : x
  2. Step 2: Convert to fraction form
    649.16/894.90 = 493.64/x
  3. Step 3: Cross multiply
    649.16x = 894.90 × 493.64
  4. Step 4: Simplify right side
    649.16x = 441,758.44
  5. Step 5: Solve for x
    x = 441,758.44/649.16
  6. Step 6: Final answer
    x = 680.51

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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.