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Finding the Fourth Proportional to 775.34, 1,069.90 and 439.26

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Solution

The fourth proportional to 775.34, 1,069.90 and 439.26 is: 606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.34 : 1,069.90 = 439.26 : x
  2. Step 2: Convert to fraction form
    775.34/1,069.90 = 439.26/x
  3. Step 3: Cross multiply
    775.34x = 1,069.90 × 439.26
  4. Step 4: Simplify right side
    775.34x = 469,964.27
  5. Step 5: Solve for x
    x = 469,964.27/775.34
  6. Step 6: Final answer
    x = 606.14

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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.