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Finding the Fourth Proportional to 1,226.98, 1,692.30 and 853.96

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Solution

The fourth proportional to 1,226.98, 1,692.30 and 853.96 is: 1,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.98 : 1,692.30 = 853.96 : x
  2. Step 2: Convert to fraction form
    1,226.98/1,692.30 = 853.96/x
  3. Step 3: Cross multiply
    1,226.98x = 1,692.30 × 853.96
  4. Step 4: Simplify right side
    1,226.98x = 1,445,156.51
  5. Step 5: Solve for x
    x = 1,445,156.51/1,226.98
  6. Step 6: Final answer
    x = 1,177.82

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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.