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Finding the Fourth Proportional to 692.37, 1,038.15 and 259.29

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Solution

The fourth proportional to 692.37, 1,038.15 and 259.29 is: 388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.37 : 1,038.15 = 259.29 : x
  2. Step 2: Convert to fraction form
    692.37/1,038.15 = 259.29/x
  3. Step 3: Cross multiply
    692.37x = 1,038.15 × 259.29
  4. Step 4: Simplify right side
    692.37x = 269,181.91
  5. Step 5: Solve for x
    x = 269,181.91/692.37
  6. Step 6: Final answer
    x = 388.78

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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.