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Finding the Fourth Proportional to 1,578.49, 2,367.56 and 482.85

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Solution

The fourth proportional to 1,578.49, 2,367.56 and 482.85 is: 724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.49 : 2,367.56 = 482.85 : x
  2. Step 2: Convert to fraction form
    1,578.49/2,367.56 = 482.85/x
  3. Step 3: Cross multiply
    1,578.49x = 2,367.56 × 482.85
  4. Step 4: Simplify right side
    1,578.49x = 1,143,177.55
  5. Step 5: Solve for x
    x = 1,143,177.55/1,578.49
  6. Step 6: Final answer
    x = 724.22

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1.5x scale

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.