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Finding the Fourth Proportional to 775.44, 1,070.11 and 421.37

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Solution

The fourth proportional to 775.44, 1,070.11 and 421.37 is: 581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.44 : 1,070.11 = 421.37 : x
  2. Step 2: Convert to fraction form
    775.44/1,070.11 = 421.37/x
  3. Step 3: Cross multiply
    775.44x = 1,070.11 × 421.37
  4. Step 4: Simplify right side
    775.44x = 450,912.25
  5. Step 5: Solve for x
    x = 450,912.25/775.44
  6. Step 6: Final answer
    x = 581.49

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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.