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Finding the Fourth Proportional to 779.17, 1,169.08 and 413.86

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Solution

The fourth proportional to 779.17, 1,169.08 and 413.86 is: 620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.17 : 1,169.08 = 413.86 : x
  2. Step 2: Convert to fraction form
    779.17/1,169.08 = 413.86/x
  3. Step 3: Cross multiply
    779.17x = 1,169.08 × 413.86
  4. Step 4: Simplify right side
    779.17x = 483,836.01
  5. Step 5: Solve for x
    x = 483,836.01/779.17
  6. Step 6: Final answer
    x = 620.96

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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.