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Finding the Fourth Proportional to 775.36, 1,069.92 and 443.80

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Solution

The fourth proportional to 775.36, 1,069.92 and 443.80 is: 612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.36 : 1,069.92 = 443.80 : x
  2. Step 2: Convert to fraction form
    775.36/1,069.92 = 443.80/x
  3. Step 3: Cross multiply
    775.36x = 1,069.92 × 443.80
  4. Step 4: Simplify right side
    775.36x = 474,830.50
  5. Step 5: Solve for x
    x = 474,830.50/775.36
  6. Step 6: Final answer
    x = 612.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.