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Finding the Fourth Proportional to 2,929.80, 4,394.39 and 738.55

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Solution

The fourth proportional to 2,929.80, 4,394.39 and 738.55 is: 1,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.80 : 4,394.39 = 738.55 : x
  2. Step 2: Convert to fraction form
    2,929.80/4,394.39 = 738.55/x
  3. Step 3: Cross multiply
    2,929.80x = 4,394.39 × 738.55
  4. Step 4: Simplify right side
    2,929.80x = 3,245,478.53
  5. Step 5: Solve for x
    x = 3,245,478.53/2,929.80
  6. Step 6: Final answer
    x = 1,107.75

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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.