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Finding the Fourth Proportional to 655.20, 981.72 and 519.12

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Solution

The fourth proportional to 655.20, 981.72 and 519.12 is: 777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.20 : 981.72 = 519.12 : x
  2. Step 2: Convert to fraction form
    655.20/981.72 = 519.12/x
  3. Step 3: Cross multiply
    655.20x = 981.72 × 519.12
  4. Step 4: Simplify right side
    655.20x = 509,630.49
  5. Step 5: Solve for x
    x = 509,630.49/655.20
  6. Step 6: Final answer
    x = 777.82

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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.