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Finding the Fourth Proportional to 775.84, 1,163.93 and 429.49

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Solution

The fourth proportional to 775.84, 1,163.93 and 429.49 is: 644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.84 : 1,163.93 = 429.49 : x
  2. Step 2: Convert to fraction form
    775.84/1,163.93 = 429.49/x
  3. Step 3: Cross multiply
    775.84x = 1,163.93 × 429.49
  4. Step 4: Simplify right side
    775.84x = 499,896.30
  5. Step 5: Solve for x
    x = 499,896.30/775.84
  6. Step 6: Final answer
    x = 644.33

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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.