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Finding the Fourth Proportional to 1,306.85, 1,961.61 and 690.44

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Solution

The fourth proportional to 1,306.85, 1,961.61 and 690.44 is: 1,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.85 : 1,961.61 = 690.44 : x
  2. Step 2: Convert to fraction form
    1,306.85/1,961.61 = 690.44/x
  3. Step 3: Cross multiply
    1,306.85x = 1,961.61 × 690.44
  4. Step 4: Simplify right side
    1,306.85x = 1,354,374.01
  5. Step 5: Solve for x
    x = 1,354,374.01/1,306.85
  6. Step 6: Final answer
    x = 1,036.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.