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Finding the Fourth Proportional to 1,226.94, 1,692.70 and 784.77

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Solution

The fourth proportional to 1,226.94, 1,692.70 and 784.77 is: 1,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.94 : 1,692.70 = 784.77 : x
  2. Step 2: Convert to fraction form
    1,226.94/1,692.70 = 784.77/x
  3. Step 3: Cross multiply
    1,226.94x = 1,692.70 × 784.77
  4. Step 4: Simplify right side
    1,226.94x = 1,328,380.18
  5. Step 5: Solve for x
    x = 1,328,380.18/1,226.94
  6. Step 6: Final answer
    x = 1,082.68

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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.