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Finding the Fourth Proportional to 775.04, 1,069.44 and 438.96

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Solution

The fourth proportional to 775.04, 1,069.44 and 438.96 is: 605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.04 : 1,069.44 = 438.96 : x
  2. Step 2: Convert to fraction form
    775.04/1,069.44 = 438.96/x
  3. Step 3: Cross multiply
    775.04x = 1,069.44 × 438.96
  4. Step 4: Simplify right side
    775.04x = 469,441.38
  5. Step 5: Solve for x
    x = 469,441.38/775.04
  6. Step 6: Final answer
    x = 605.70

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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.