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Finding the Fourth Proportional to 464.42, 692.60 and 396.38

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Solution

The fourth proportional to 464.42, 692.60 and 396.38 is: 591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.42 : 692.60 = 396.38 : x
  2. Step 2: Convert to fraction form
    464.42/692.60 = 396.38/x
  3. Step 3: Cross multiply
    464.42x = 692.60 × 396.38
  4. Step 4: Simplify right side
    464.42x = 274,527.34
  5. Step 5: Solve for x
    x = 274,527.34/464.42
  6. Step 6: Final answer
    x = 591.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.