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Finding the Fourth Proportional to 582.79, 874.19 and 198.04

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Solution

The fourth proportional to 582.79, 874.19 and 198.04 is: 297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.79 : 874.19 = 198.04 : x
  2. Step 2: Convert to fraction form
    582.79/874.19 = 198.04/x
  3. Step 3: Cross multiply
    582.79x = 874.19 × 198.04
  4. Step 4: Simplify right side
    582.79x = 173,124.59
  5. Step 5: Solve for x
    x = 173,124.59/582.79
  6. Step 6: Final answer
    x = 297.06

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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.