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Finding the Fourth Proportional to 655.72, 982.59 and 518.20

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Solution

The fourth proportional to 655.72, 982.59 and 518.20 is: 776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.72 : 982.59 = 518.20 : x
  2. Step 2: Convert to fraction form
    655.72/982.59 = 518.20/x
  3. Step 3: Cross multiply
    655.72x = 982.59 × 518.20
  4. Step 4: Simplify right side
    655.72x = 509,178.14
  5. Step 5: Solve for x
    x = 509,178.14/655.72
  6. Step 6: Final answer
    x = 776.52

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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.