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Finding the Fourth Proportional to 461.90, 692.85 and 380.54

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Solution

The fourth proportional to 461.90, 692.85 and 380.54 is: 570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.90 : 692.85 = 380.54 : x
  2. Step 2: Convert to fraction form
    461.90/692.85 = 380.54/x
  3. Step 3: Cross multiply
    461.90x = 692.85 × 380.54
  4. Step 4: Simplify right side
    461.90x = 263,657.14
  5. Step 5: Solve for x
    x = 263,657.14/461.90
  6. Step 6: Final answer
    x = 570.81

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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.