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Finding the Fourth Proportional to 461.94, 692.55 and 443.01

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Solution

The fourth proportional to 461.94, 692.55 and 443.01 is: 664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.94 : 692.55 = 443.01 : x
  2. Step 2: Convert to fraction form
    461.94/692.55 = 443.01/x
  3. Step 3: Cross multiply
    461.94x = 692.55 × 443.01
  4. Step 4: Simplify right side
    461.94x = 306,806.58
  5. Step 5: Solve for x
    x = 306,806.58/461.94
  6. Step 6: Final answer
    x = 664.17

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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.