Home / 692.03-1,038.20-259.19

Finding the Fourth Proportional to 692.03, 1,038.20 and 259.19

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Solution

The fourth proportional to 692.03, 1,038.20 and 259.19 is: 388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.03 : 1,038.20 = 259.19 : x
  2. Step 2: Convert to fraction form
    692.03/1,038.20 = 259.19/x
  3. Step 3: Cross multiply
    692.03x = 1,038.20 × 259.19
  4. Step 4: Simplify right side
    692.03x = 269,091.06
  5. Step 5: Solve for x
    x = 269,091.06/692.03
  6. Step 6: Final answer
    x = 388.84

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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.