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Finding the Fourth Proportional to 582.78, 874.17 and 198

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Solution

The fourth proportional to 582.78, 874.17 and 198 is: 297

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.78 : 874.17 = 198 : x
  2. Step 2: Convert to fraction form
    582.78/874.17 = 198/x
  3. Step 3: Cross multiply
    582.78x = 874.17 × 198
  4. Step 4: Simplify right side
    582.78x = 173,085.66
  5. Step 5: Solve for x
    x = 173,085.66/582.78
  6. Step 6: Final answer
    x = 297

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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.