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Finding the Fourth Proportional to 677.64, 940.26 and 650.22

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Solution

The fourth proportional to 677.64, 940.26 and 650.22 is: 902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.64 : 940.26 = 650.22 : x
  2. Step 2: Convert to fraction form
    677.64/940.26 = 650.22/x
  3. Step 3: Cross multiply
    677.64x = 940.26 × 650.22
  4. Step 4: Simplify right side
    677.64x = 611,375.86
  5. Step 5: Solve for x
    x = 611,375.86/677.64
  6. Step 6: Final answer
    x = 902.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.