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Finding the Fourth Proportional to 692.05, 954.34 and 613.39

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Solution

The fourth proportional to 692.05, 954.34 and 613.39 is: 845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.05 : 954.34 = 613.39 : x
  2. Step 2: Convert to fraction form
    692.05/954.34 = 613.39/x
  3. Step 3: Cross multiply
    692.05x = 954.34 × 613.39
  4. Step 4: Simplify right side
    692.05x = 585,382.61
  5. Step 5: Solve for x
    x = 585,382.61/692.05
  6. Step 6: Final answer
    x = 845.87

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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.