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Finding the Fourth Proportional to 692.21, 1,038.83 and 516.92

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Solution

The fourth proportional to 692.21, 1,038.83 and 516.92 is: 775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.21 : 1,038.83 = 516.92 : x
  2. Step 2: Convert to fraction form
    692.21/1,038.83 = 516.92/x
  3. Step 3: Cross multiply
    692.21x = 1,038.83 × 516.92
  4. Step 4: Simplify right side
    692.21x = 536,984.22
  5. Step 5: Solve for x
    x = 536,984.22/692.21
  6. Step 6: Final answer
    x = 775.75

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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.