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Finding the Fourth Proportional to 461.96, 692.21 and 323

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Solution

The fourth proportional to 461.96, 692.21 and 323 is: 483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.96 : 692.21 = 323 : x
  2. Step 2: Convert to fraction form
    461.96/692.21 = 323/x
  3. Step 3: Cross multiply
    461.96x = 692.21 × 323
  4. Step 4: Simplify right side
    461.96x = 223,583.83
  5. Step 5: Solve for x
    x = 223,583.83/461.96
  6. Step 6: Final answer
    x = 483.99

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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.