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Finding the Fourth Proportional to 1,226.61, 1,692.57 and 695.45

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Solution

The fourth proportional to 1,226.61, 1,692.57 and 695.45 is: 959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.61 : 1,692.57 = 695.45 : x
  2. Step 2: Convert to fraction form
    1,226.61/1,692.57 = 695.45/x
  3. Step 3: Cross multiply
    1,226.61x = 1,692.57 × 695.45
  4. Step 4: Simplify right side
    1,226.61x = 1,177,104.65
  5. Step 5: Solve for x
    x = 1,177,104.65/1,226.61
  6. Step 6: Final answer
    x = 959.64

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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.