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Finding the Fourth Proportional to 1,226.21, 1,692.09 and 784.22

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Solution

The fourth proportional to 1,226.21, 1,692.09 and 784.22 is: 1,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.21 : 1,692.09 = 784.22 : x
  2. Step 2: Convert to fraction form
    1,226.21/1,692.09 = 784.22/x
  3. Step 3: Cross multiply
    1,226.21x = 1,692.09 × 784.22
  4. Step 4: Simplify right side
    1,226.21x = 1,326,962.36
  5. Step 5: Solve for x
    x = 1,326,962.36/1,226.21
  6. Step 6: Final answer
    x = 1,082.17

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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.