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Finding the Fourth Proportional to 778.51, 1,166.01 and 413.56

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Solution

The fourth proportional to 778.51, 1,166.01 and 413.56 is: 619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.51 : 1,166.01 = 413.56 : x
  2. Step 2: Convert to fraction form
    778.51/1,166.01 = 413.56/x
  3. Step 3: Cross multiply
    778.51x = 1,166.01 × 413.56
  4. Step 4: Simplify right side
    778.51x = 482,215.10
  5. Step 5: Solve for x
    x = 482,215.10/778.51
  6. Step 6: Final answer
    x = 619.41

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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.