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Finding the Fourth Proportional to 1,421.99, 2,134.50 and 806.89

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Solution

The fourth proportional to 1,421.99, 2,134.50 and 806.89 is: 1,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.99 : 2,134.50 = 806.89 : x
  2. Step 2: Convert to fraction form
    1,421.99/2,134.50 = 806.89/x
  3. Step 3: Cross multiply
    1,421.99x = 2,134.50 × 806.89
  4. Step 4: Simplify right side
    1,421.99x = 1,722,306.35
  5. Step 5: Solve for x
    x = 1,722,306.35/1,421.99
  6. Step 6: Final answer
    x = 1,211.20

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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.