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Finding the Fourth Proportional to 653.78, 979.97 and 490.96

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Solution

The fourth proportional to 653.78, 979.97 and 490.96 is: 735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.78 : 979.97 = 490.96 : x
  2. Step 2: Convert to fraction form
    653.78/979.97 = 490.96/x
  3. Step 3: Cross multiply
    653.78x = 979.97 × 490.96
  4. Step 4: Simplify right side
    653.78x = 481,126.07
  5. Step 5: Solve for x
    x = 481,126.07/653.78
  6. Step 6: Final answer
    x = 735.91

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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.