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Finding the Fourth Proportional to 730, 1,092.26 and 454.80

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Solution

The fourth proportional to 730, 1,092.26 and 454.80 is: 680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    730 : 1,092.26 = 454.80 : x
  2. Step 2: Convert to fraction form
    730/1,092.26 = 454.80/x
  3. Step 3: Cross multiply
    730x = 1,092.26 × 454.80
  4. Step 4: Simplify right side
    730x = 496,759.85
  5. Step 5: Solve for x
    x = 496,759.85/730
  6. Step 6: Final answer
    x = 680.49

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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.