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Finding the Fourth Proportional to 655.70, 984.15 and 519.14

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Solution

The fourth proportional to 655.70, 984.15 and 519.14 is: 779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.70 : 984.15 = 519.14 : x
  2. Step 2: Convert to fraction form
    655.70/984.15 = 519.14/x
  3. Step 3: Cross multiply
    655.70x = 984.15 × 519.14
  4. Step 4: Simplify right side
    655.70x = 510,911.63
  5. Step 5: Solve for x
    x = 510,911.63/655.70
  6. Step 6: Final answer
    x = 779.19

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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.