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Finding the Fourth Proportional to 468.78, 698.48 and 445.26

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Solution

The fourth proportional to 468.78, 698.48 and 445.26 is: 663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.78 : 698.48 = 445.26 : x
  2. Step 2: Convert to fraction form
    468.78/698.48 = 445.26/x
  3. Step 3: Cross multiply
    468.78x = 698.48 × 445.26
  4. Step 4: Simplify right side
    468.78x = 311,002.98
  5. Step 5: Solve for x
    x = 311,002.98/468.78
  6. Step 6: Final answer
    x = 663.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.