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Finding the Fourth Proportional to 653.94, 902.43 and 374.22

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Solution

The fourth proportional to 653.94, 902.43 and 374.22 is: 516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.94 : 902.43 = 374.22 : x
  2. Step 2: Convert to fraction form
    653.94/902.43 = 374.22/x
  3. Step 3: Cross multiply
    653.94x = 902.43 × 374.22
  4. Step 4: Simplify right side
    653.94x = 337,707.35
  5. Step 5: Solve for x
    x = 337,707.35/653.94
  6. Step 6: Final answer
    x = 516.42

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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.