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Finding the Fourth Proportional to 1,435.85, 2,152.18 and 819.85

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Solution

The fourth proportional to 1,435.85, 2,152.18 and 819.85 is: 1,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.85 : 2,152.18 = 819.85 : x
  2. Step 2: Convert to fraction form
    1,435.85/2,152.18 = 819.85/x
  3. Step 3: Cross multiply
    1,435.85x = 2,152.18 × 819.85
  4. Step 4: Simplify right side
    1,435.85x = 1,764,460.67
  5. Step 5: Solve for x
    x = 1,764,460.67/1,435.85
  6. Step 6: Final answer
    x = 1,228.86

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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.