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Finding the Fourth Proportional to 654.82, 902.58 and 455.94

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Solution

The fourth proportional to 654.82, 902.58 and 455.94 is: 628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.82 : 902.58 = 455.94 : x
  2. Step 2: Convert to fraction form
    654.82/902.58 = 455.94/x
  3. Step 3: Cross multiply
    654.82x = 902.58 × 455.94
  4. Step 4: Simplify right side
    654.82x = 411,520.62
  5. Step 5: Solve for x
    x = 411,520.62/654.82
  6. Step 6: Final answer
    x = 628.45

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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.