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Finding the Fourth Proportional to 654.68, 980.10 and 516.44

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Solution

The fourth proportional to 654.68, 980.10 and 516.44 is: 773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.68 : 980.10 = 516.44 : x
  2. Step 2: Convert to fraction form
    654.68/980.10 = 516.44/x
  3. Step 3: Cross multiply
    654.68x = 980.10 × 516.44
  4. Step 4: Simplify right side
    654.68x = 506,162.84
  5. Step 5: Solve for x
    x = 506,162.84/654.68
  6. Step 6: Final answer
    x = 773.15

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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.