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Finding the Fourth Proportional to 655.70, 981.93 and 366.53

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Solution

The fourth proportional to 655.70, 981.93 and 366.53 is: 548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.70 : 981.93 = 366.53 : x
  2. Step 2: Convert to fraction form
    655.70/981.93 = 366.53/x
  3. Step 3: Cross multiply
    655.70x = 981.93 × 366.53
  4. Step 4: Simplify right side
    655.70x = 359,906.80
  5. Step 5: Solve for x
    x = 359,906.80/655.70
  6. Step 6: Final answer
    x = 548.89

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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.