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Finding the Fourth Proportional to 494.42, 677.86 and 485.64

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Solution

The fourth proportional to 494.42, 677.86 and 485.64 is: 665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.42 : 677.86 = 485.64 : x
  2. Step 2: Convert to fraction form
    494.42/677.86 = 485.64/x
  3. Step 3: Cross multiply
    494.42x = 677.86 × 485.64
  4. Step 4: Simplify right side
    494.42x = 329,195.93
  5. Step 5: Solve for x
    x = 329,195.93/494.42
  6. Step 6: Final answer
    x = 665.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.