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Finding the Fourth Proportional to 1,226.43, 1,692.80 and 761.07

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Solution

The fourth proportional to 1,226.43, 1,692.80 and 761.07 is: 1,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.43 : 1,692.80 = 761.07 : x
  2. Step 2: Convert to fraction form
    1,226.43/1,692.80 = 761.07/x
  3. Step 3: Cross multiply
    1,226.43x = 1,692.80 × 761.07
  4. Step 4: Simplify right side
    1,226.43x = 1,288,339.30
  5. Step 5: Solve for x
    x = 1,288,339.30/1,226.43
  6. Step 6: Final answer
    x = 1,050.48

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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.