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Finding the Fourth Proportional to 692.37, 955.47 and 408.72

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Solution

The fourth proportional to 692.37, 955.47 and 408.72 is: 564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.37 : 955.47 = 408.72 : x
  2. Step 2: Convert to fraction form
    692.37/955.47 = 408.72/x
  3. Step 3: Cross multiply
    692.37x = 955.47 × 408.72
  4. Step 4: Simplify right side
    692.37x = 390,519.70
  5. Step 5: Solve for x
    x = 390,519.70/692.37
  6. Step 6: Final answer
    x = 564.03

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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.