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Finding the Fourth Proportional to 463.74, 692.36 and 382.74

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Solution

The fourth proportional to 463.74, 692.36 and 382.74 is: 571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.74 : 692.36 = 382.74 : x
  2. Step 2: Convert to fraction form
    463.74/692.36 = 382.74/x
  3. Step 3: Cross multiply
    463.74x = 692.36 × 382.74
  4. Step 4: Simplify right side
    463.74x = 264,991.95
  5. Step 5: Solve for x
    x = 264,991.95/463.74
  6. Step 6: Final answer
    x = 571.42

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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.