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Finding the Fourth Proportional to 654.43, 902.20 and 444.28

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Solution

The fourth proportional to 654.43, 902.20 and 444.28 is: 612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.43 : 902.20 = 444.28 : x
  2. Step 2: Convert to fraction form
    654.43/902.20 = 444.28/x
  3. Step 3: Cross multiply
    654.43x = 902.20 × 444.28
  4. Step 4: Simplify right side
    654.43x = 400,829.42
  5. Step 5: Solve for x
    x = 400,829.42/654.43
  6. Step 6: Final answer
    x = 612.49

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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.