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Finding the Fourth Proportional to 692.82, 956.10 and 413.07

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Solution

The fourth proportional to 692.82, 956.10 and 413.07 is: 570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.82 : 956.10 = 413.07 : x
  2. Step 2: Convert to fraction form
    692.82/956.10 = 413.07/x
  3. Step 3: Cross multiply
    692.82x = 956.10 × 413.07
  4. Step 4: Simplify right side
    692.82x = 394,936.23
  5. Step 5: Solve for x
    x = 394,936.23/692.82
  6. Step 6: Final answer
    x = 570.04

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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.