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Finding the Fourth Proportional to 692.10, 1,036.26 and 365.94

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Solution

The fourth proportional to 692.10, 1,036.26 and 365.94 is: 547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.10 : 1,036.26 = 365.94 : x
  2. Step 2: Convert to fraction form
    692.10/1,036.26 = 365.94/x
  3. Step 3: Cross multiply
    692.10x = 1,036.26 × 365.94
  4. Step 4: Simplify right side
    692.10x = 379,208.98
  5. Step 5: Solve for x
    x = 379,208.98/692.10
  6. Step 6: Final answer
    x = 547.91

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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.