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Finding the Fourth Proportional to 1,226.17, 1,692.12 and 666.61

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Solution

The fourth proportional to 1,226.17, 1,692.12 and 666.61 is: 919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.17 : 1,692.12 = 666.61 : x
  2. Step 2: Convert to fraction form
    1,226.17/1,692.12 = 666.61/x
  3. Step 3: Cross multiply
    1,226.17x = 1,692.12 × 666.61
  4. Step 4: Simplify right side
    1,226.17x = 1,127,984.11
  5. Step 5: Solve for x
    x = 1,127,984.11/1,226.17
  6. Step 6: Final answer
    x = 919.92

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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.