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Finding the Fourth Proportional to 462.35, 692.46 and 380.36

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Solution

The fourth proportional to 462.35, 692.46 and 380.36 is: 569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.35 : 692.46 = 380.36 : x
  2. Step 2: Convert to fraction form
    462.35/692.46 = 380.36/x
  3. Step 3: Cross multiply
    462.35x = 692.46 × 380.36
  4. Step 4: Simplify right side
    462.35x = 263,380.62
  5. Step 5: Solve for x
    x = 263,380.62/462.35
  6. Step 6: Final answer
    x = 569.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.