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Finding the Fourth Proportional to 692.50, 1,038.25 and 327.09

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Solution

The fourth proportional to 692.50, 1,038.25 and 327.09 is: 490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.50 : 1,038.25 = 327.09 : x
  2. Step 2: Convert to fraction form
    692.50/1,038.25 = 327.09/x
  3. Step 3: Cross multiply
    692.50x = 1,038.25 × 327.09
  4. Step 4: Simplify right side
    692.50x = 339,599.65
  5. Step 5: Solve for x
    x = 339,599.65/692.50
  6. Step 6: Final answer
    x = 490.40

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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.