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Finding the Fourth Proportional to 692.75, 955.79 and 398.00

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Solution

The fourth proportional to 692.75, 955.79 and 398.00 is: 549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.75 : 955.79 = 398.00 : x
  2. Step 2: Convert to fraction form
    692.75/955.79 = 398.00/x
  3. Step 3: Cross multiply
    692.75x = 955.79 × 398.00
  4. Step 4: Simplify right side
    692.75x = 380,399.64
  5. Step 5: Solve for x
    x = 380,399.64/692.75
  6. Step 6: Final answer
    x = 549.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.