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Finding the Fourth Proportional to 692.27, 1,039.09 and 577.45

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Solution

The fourth proportional to 692.27, 1,039.09 and 577.45 is: 866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.27 : 1,039.09 = 577.45 : x
  2. Step 2: Convert to fraction form
    692.27/1,039.09 = 577.45/x
  3. Step 3: Cross multiply
    692.27x = 1,039.09 × 577.45
  4. Step 4: Simplify right side
    692.27x = 600,022.52
  5. Step 5: Solve for x
    x = 600,022.52/692.27
  6. Step 6: Final answer
    x = 866.75

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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.