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Finding the Fourth Proportional to 692.08, 953.85 and 611.62

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Solution

The fourth proportional to 692.08, 953.85 and 611.62 is: 842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.08 : 953.85 = 611.62 : x
  2. Step 2: Convert to fraction form
    692.08/953.85 = 611.62/x
  3. Step 3: Cross multiply
    692.08x = 953.85 × 611.62
  4. Step 4: Simplify right side
    692.08x = 583,393.74
  5. Step 5: Solve for x
    x = 583,393.74/692.08
  6. Step 6: Final answer
    x = 842.96

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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.