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Finding the Fourth Proportional to 692.70, 956.03 and 412.96

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Solution

The fourth proportional to 692.70, 956.03 and 412.96 is: 569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.70 : 956.03 = 412.96 : x
  2. Step 2: Convert to fraction form
    692.70/956.03 = 412.96/x
  3. Step 3: Cross multiply
    692.70x = 956.03 × 412.96
  4. Step 4: Simplify right side
    692.70x = 394,802.15
  5. Step 5: Solve for x
    x = 394,802.15/692.70
  6. Step 6: Final answer
    x = 569.95

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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.