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Finding the Fourth Proportional to 692.09, 954.60 and 412.11

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Solution

The fourth proportional to 692.09, 954.60 and 412.11 is: 568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.09 : 954.60 = 412.11 : x
  2. Step 2: Convert to fraction form
    692.09/954.60 = 412.11/x
  3. Step 3: Cross multiply
    692.09x = 954.60 × 412.11
  4. Step 4: Simplify right side
    692.09x = 393,400.21
  5. Step 5: Solve for x
    x = 393,400.21/692.09
  6. Step 6: Final answer
    x = 568.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.