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Finding the Fourth Proportional to 543.98, 750.97 and 419.38

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Solution

The fourth proportional to 543.98, 750.97 and 419.38 is: 578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.98 : 750.97 = 419.38 : x
  2. Step 2: Convert to fraction form
    543.98/750.97 = 419.38/x
  3. Step 3: Cross multiply
    543.98x = 750.97 × 419.38
  4. Step 4: Simplify right side
    543.98x = 314,940.45
  5. Step 5: Solve for x
    x = 314,940.45/543.98
  6. Step 6: Final answer
    x = 578.95

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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.