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Finding the Fourth Proportional to 692.25, 954.96 and 412.40

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Solution

The fourth proportional to 692.25, 954.96 and 412.40 is: 568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.25 : 954.96 = 412.40 : x
  2. Step 2: Convert to fraction form
    692.25/954.96 = 412.40/x
  3. Step 3: Cross multiply
    692.25x = 954.96 × 412.40
  4. Step 4: Simplify right side
    692.25x = 393,820.73
  5. Step 5: Solve for x
    x = 393,820.73/692.25
  6. Step 6: Final answer
    x = 568.90

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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.