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Finding the Fourth Proportional to 852.92, 1,278.41 and 414.59

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Solution

The fourth proportional to 852.92, 1,278.41 and 414.59 is: 621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.92 : 1,278.41 = 414.59 : x
  2. Step 2: Convert to fraction form
    852.92/1,278.41 = 414.59/x
  3. Step 3: Cross multiply
    852.92x = 1,278.41 × 414.59
  4. Step 4: Simplify right side
    852.92x = 530,017.12
  5. Step 5: Solve for x
    x = 530,017.12/852.92
  6. Step 6: Final answer
    x = 621.42

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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.