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Finding the Fourth Proportional to 852.05, 1,278.09 and 561.41

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Solution

The fourth proportional to 852.05, 1,278.09 and 561.41 is: 842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.05 : 1,278.09 = 561.41 : x
  2. Step 2: Convert to fraction form
    852.05/1,278.09 = 561.41/x
  3. Step 3: Cross multiply
    852.05x = 1,278.09 × 561.41
  4. Step 4: Simplify right side
    852.05x = 717,535.00
  5. Step 5: Solve for x
    x = 717,535.00/852.05
  6. Step 6: Final answer
    x = 842.13

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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.