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Finding the Fourth Proportional to 655.22, 981.54 and 395.30

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Solution

The fourth proportional to 655.22, 981.54 and 395.30 is: 592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.22 : 981.54 = 395.30 : x
  2. Step 2: Convert to fraction form
    655.22/981.54 = 395.30/x
  3. Step 3: Cross multiply
    655.22x = 981.54 × 395.30
  4. Step 4: Simplify right side
    655.22x = 387,997.85
  5. Step 5: Solve for x
    x = 387,997.85/655.22
  6. Step 6: Final answer
    x = 592.17

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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.