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Finding the Fourth Proportional to 1,216.69, 1,679.04 and 692.73

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Solution

The fourth proportional to 1,216.69, 1,679.04 and 692.73 is: 955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.69 : 1,679.04 = 692.73 : x
  2. Step 2: Convert to fraction form
    1,216.69/1,679.04 = 692.73/x
  3. Step 3: Cross multiply
    1,216.69x = 1,679.04 × 692.73
  4. Step 4: Simplify right side
    1,216.69x = 1,163,121.38
  5. Step 5: Solve for x
    x = 1,163,121.38/1,216.69
  6. Step 6: Final answer
    x = 955.97

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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.