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Finding the Fourth Proportional to 775.03, 1,069.49 and 438.97

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Solution

The fourth proportional to 775.03, 1,069.49 and 438.97 is: 605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.03 : 1,069.49 = 438.97 : x
  2. Step 2: Convert to fraction form
    775.03/1,069.49 = 438.97/x
  3. Step 3: Cross multiply
    775.03x = 1,069.49 × 438.97
  4. Step 4: Simplify right side
    775.03x = 469,466.48
  5. Step 5: Solve for x
    x = 469,466.48/775.03
  6. Step 6: Final answer
    x = 605.74

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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.