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Finding the Fourth Proportional to 461.46, 692.29 and 172.94

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Solution

The fourth proportional to 461.46, 692.29 and 172.94 is: 259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.46 : 692.29 = 172.94 : x
  2. Step 2: Convert to fraction form
    461.46/692.29 = 172.94/x
  3. Step 3: Cross multiply
    461.46x = 692.29 × 172.94
  4. Step 4: Simplify right side
    461.46x = 119,724.63
  5. Step 5: Solve for x
    x = 119,724.63/461.46
  6. Step 6: Final answer
    x = 259.45

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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.