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Finding the Fourth Proportional to 824.06, 1,235.37 and 412.62

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Solution

The fourth proportional to 824.06, 1,235.37 and 412.62 is: 618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.06 : 1,235.37 = 412.62 : x
  2. Step 2: Convert to fraction form
    824.06/1,235.37 = 412.62/x
  3. Step 3: Cross multiply
    824.06x = 1,235.37 × 412.62
  4. Step 4: Simplify right side
    824.06x = 509,738.37
  5. Step 5: Solve for x
    x = 509,738.37/824.06
  6. Step 6: Final answer
    x = 618.57

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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.