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Finding the Fourth Proportional to 1,226.08, 1,692.01 and 666.55

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Solution

The fourth proportional to 1,226.08, 1,692.01 and 666.55 is: 919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.08 : 1,692.01 = 666.55 : x
  2. Step 2: Convert to fraction form
    1,226.08/1,692.01 = 666.55/x
  3. Step 3: Cross multiply
    1,226.08x = 1,692.01 × 666.55
  4. Step 4: Simplify right side
    1,226.08x = 1,127,812.97
  5. Step 5: Solve for x
    x = 1,127,812.97/1,226.08
  6. Step 6: Final answer
    x = 919.85

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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.