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Finding the Fourth Proportional to 543.98, 750.38 and 396.44

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Solution

The fourth proportional to 543.98, 750.38 and 396.44 is: 546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.98 : 750.38 = 396.44 : x
  2. Step 2: Convert to fraction form
    543.98/750.38 = 396.44/x
  3. Step 3: Cross multiply
    543.98x = 750.38 × 396.44
  4. Step 4: Simplify right side
    543.98x = 297,480.65
  5. Step 5: Solve for x
    x = 297,480.65/543.98
  6. Step 6: Final answer
    x = 546.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.