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Finding the Fourth Proportional to 1,226.79, 1,692.28 and 777.85

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Solution

The fourth proportional to 1,226.79, 1,692.28 and 777.85 is: 1,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.79 : 1,692.28 = 777.85 : x
  2. Step 2: Convert to fraction form
    1,226.79/1,692.28 = 777.85/x
  3. Step 3: Cross multiply
    1,226.79x = 1,692.28 × 777.85
  4. Step 4: Simplify right side
    1,226.79x = 1,316,333.82
  5. Step 5: Solve for x
    x = 1,316,333.82/1,226.79
  6. Step 6: Final answer
    x = 1,072.99

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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.