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Finding the Fourth Proportional to 775.34, 1,163 and 405.26

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Solution

The fourth proportional to 775.34, 1,163 and 405.26 is: 607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.34 : 1,163 = 405.26 : x
  2. Step 2: Convert to fraction form
    775.34/1,163 = 405.26/x
  3. Step 3: Cross multiply
    775.34x = 1,163 × 405.26
  4. Step 4: Simplify right side
    775.34x = 471,317.38
  5. Step 5: Solve for x
    x = 471,317.38/775.34
  6. Step 6: Final answer
    x = 607.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.