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Finding the Fourth Proportional to 654.42, 902.63 and 452.61

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Solution

The fourth proportional to 654.42, 902.63 and 452.61 is: 624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.42 : 902.63 = 452.61 : x
  2. Step 2: Convert to fraction form
    654.42/902.63 = 452.61/x
  3. Step 3: Cross multiply
    654.42x = 902.63 × 452.61
  4. Step 4: Simplify right side
    654.42x = 408,537.10
  5. Step 5: Solve for x
    x = 408,537.10/654.42
  6. Step 6: Final answer
    x = 624.27

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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.