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Finding the Fourth Proportional to 474.09, 653.87 and 326.69

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Solution

The fourth proportional to 474.09, 653.87 and 326.69 is: 450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.09 : 653.87 = 326.69 : x
  2. Step 2: Convert to fraction form
    474.09/653.87 = 326.69/x
  3. Step 3: Cross multiply
    474.09x = 653.87 × 326.69
  4. Step 4: Simplify right side
    474.09x = 213,611.16
  5. Step 5: Solve for x
    x = 213,611.16/474.09
  6. Step 6: Final answer
    x = 450.57

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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.