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Finding the Fourth Proportional to 1,414.01, 2,120.84 and 569.67

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Solution

The fourth proportional to 1,414.01, 2,120.84 and 569.67 is: 854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.01 : 2,120.84 = 569.67 : x
  2. Step 2: Convert to fraction form
    1,414.01/2,120.84 = 569.67/x
  3. Step 3: Cross multiply
    1,414.01x = 2,120.84 × 569.67
  4. Step 4: Simplify right side
    1,414.01x = 1,208,178.92
  5. Step 5: Solve for x
    x = 1,208,178.92/1,414.01
  6. Step 6: Final answer
    x = 854.43

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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.