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Finding the Fourth Proportional to 654.08, 980.64 and 345.56

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Solution

The fourth proportional to 654.08, 980.64 and 345.56 is: 518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.08 : 980.64 = 345.56 : x
  2. Step 2: Convert to fraction form
    654.08/980.64 = 345.56/x
  3. Step 3: Cross multiply
    654.08x = 980.64 × 345.56
  4. Step 4: Simplify right side
    654.08x = 338,869.96
  5. Step 5: Solve for x
    x = 338,869.96/654.08
  6. Step 6: Final answer
    x = 518.09

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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.