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Finding the Fourth Proportional to 692.69, 956.11 and 413.12

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Solution

The fourth proportional to 692.69, 956.11 and 413.12 is: 570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.69 : 956.11 = 413.12 : x
  2. Step 2: Convert to fraction form
    692.69/956.11 = 413.12/x
  3. Step 3: Cross multiply
    692.69x = 956.11 × 413.12
  4. Step 4: Simplify right side
    692.69x = 394,988.16
  5. Step 5: Solve for x
    x = 394,988.16/692.69
  6. Step 6: Final answer
    x = 570.22

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1.5x scale

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.