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Finding the Fourth Proportional to 1,235.05, 1,852.78 and 413.57

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Solution

The fourth proportional to 1,235.05, 1,852.78 and 413.57 is: 620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.05 : 1,852.78 = 413.57 : x
  2. Step 2: Convert to fraction form
    1,235.05/1,852.78 = 413.57/x
  3. Step 3: Cross multiply
    1,235.05x = 1,852.78 × 413.57
  4. Step 4: Simplify right side
    1,235.05x = 766,254.22
  5. Step 5: Solve for x
    x = 766,254.22/1,235.05
  6. Step 6: Final answer
    x = 620.42

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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.