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Finding the Fourth Proportional to 1,578.22, 2,367.33 and 551.98

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Solution

The fourth proportional to 1,578.22, 2,367.33 and 551.98 is: 827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.22 : 2,367.33 = 551.98 : x
  2. Step 2: Convert to fraction form
    1,578.22/2,367.33 = 551.98/x
  3. Step 3: Cross multiply
    1,578.22x = 2,367.33 × 551.98
  4. Step 4: Simplify right side
    1,578.22x = 1,306,718.81
  5. Step 5: Solve for x
    x = 1,306,718.81/1,578.22
  6. Step 6: Final answer
    x = 827.97

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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.