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Finding the Fourth Proportional to 1,578.42, 2,367.61 and 482.74

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Solution

The fourth proportional to 1,578.42, 2,367.61 and 482.74 is: 724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.42 : 2,367.61 = 482.74 : x
  2. Step 2: Convert to fraction form
    1,578.42/2,367.61 = 482.74/x
  3. Step 3: Cross multiply
    1,578.42x = 2,367.61 × 482.74
  4. Step 4: Simplify right side
    1,578.42x = 1,142,940.05
  5. Step 5: Solve for x
    x = 1,142,940.05/1,578.42
  6. Step 6: Final answer
    x = 724.10

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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.