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Finding the Fourth Proportional to 654.08, 980.60 and 445.30

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Solution

The fourth proportional to 654.08, 980.60 and 445.30 is: 667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.08 : 980.60 = 445.30 : x
  2. Step 2: Convert to fraction form
    654.08/980.60 = 445.30/x
  3. Step 3: Cross multiply
    654.08x = 980.60 × 445.30
  4. Step 4: Simplify right side
    654.08x = 436,656.50
  5. Step 5: Solve for x
    x = 436,656.50/654.08
  6. Step 6: Final answer
    x = 667.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.