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Finding the Fourth Proportional to 779.58, 1,166.88 and 413.82

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Solution

The fourth proportional to 779.58, 1,166.88 and 413.82 is: 619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.58 : 1,166.88 = 413.82 : x
  2. Step 2: Convert to fraction form
    779.58/1,166.88 = 413.82/x
  3. Step 3: Cross multiply
    779.58x = 1,166.88 × 413.82
  4. Step 4: Simplify right side
    779.58x = 482,878.28
  5. Step 5: Solve for x
    x = 482,878.28/779.58
  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.