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Finding the Fourth Proportional to 654.05, 902.29 and 417.88

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Solution

The fourth proportional to 654.05, 902.29 and 417.88 is: 576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.05 : 902.29 = 417.88 : x
  2. Step 2: Convert to fraction form
    654.05/902.29 = 417.88/x
  3. Step 3: Cross multiply
    654.05x = 902.29 × 417.88
  4. Step 4: Simplify right side
    654.05x = 377,049.81
  5. Step 5: Solve for x
    x = 377,049.81/654.05
  6. Step 6: Final answer
    x = 576.48

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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.