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Finding the Fourth Proportional to 654.09, 902.49 and 374.23

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Solution

The fourth proportional to 654.09, 902.49 and 374.23 is: 516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.09 : 902.49 = 374.23 : x
  2. Step 2: Convert to fraction form
    654.09/902.49 = 374.23/x
  3. Step 3: Cross multiply
    654.09x = 902.49 × 374.23
  4. Step 4: Simplify right side
    654.09x = 337,738.83
  5. Step 5: Solve for x
    x = 337,738.83/654.09
  6. Step 6: Final answer
    x = 516.35

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1.5x scale

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.