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Finding the Fourth Proportional to 654.23, 902.83 and 374.46

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Solution

The fourth proportional to 654.23, 902.83 and 374.46 is: 516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.23 : 902.83 = 374.46 : x
  2. Step 2: Convert to fraction form
    654.23/902.83 = 374.46/x
  3. Step 3: Cross multiply
    654.23x = 902.83 × 374.46
  4. Step 4: Simplify right side
    654.23x = 338,073.12
  5. Step 5: Solve for x
    x = 338,073.12/654.23
  6. Step 6: Final answer
    x = 516.75

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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.