Home / 1,226.90-1,692.57-927.61

Finding the Fourth Proportional to 1,226.90, 1,692.57 and 927.61

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Solution

The fourth proportional to 1,226.90, 1,692.57 and 927.61 is: 1,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.90 : 1,692.57 = 927.61 : x
  2. Step 2: Convert to fraction form
    1,226.90/1,692.57 = 927.61/x
  3. Step 3: Cross multiply
    1,226.90x = 1,692.57 × 927.61
  4. Step 4: Simplify right side
    1,226.90x = 1,570,044.86
  5. Step 5: Solve for x
    x = 1,570,044.86/1,226.90
  6. Step 6: Final answer
    x = 1,279.68

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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.