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Finding the Fourth Proportional to 692.98, 956.32 and 398.27

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Solution

The fourth proportional to 692.98, 956.32 and 398.27 is: 549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.98 : 956.32 = 398.27 : x
  2. Step 2: Convert to fraction form
    692.98/956.32 = 398.27/x
  3. Step 3: Cross multiply
    692.98x = 956.32 × 398.27
  4. Step 4: Simplify right side
    692.98x = 380,874.96
  5. Step 5: Solve for x
    x = 380,874.96/692.98
  6. Step 6: Final answer
    x = 549.62

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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.