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Finding the Fourth Proportional to 779.12, 1,167.60 and 413.20

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Solution

The fourth proportional to 779.12, 1,167.60 and 413.20 is: 619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.12 : 1,167.60 = 413.20 : x
  2. Step 2: Convert to fraction form
    779.12/1,167.60 = 413.20/x
  3. Step 3: Cross multiply
    779.12x = 1,167.60 × 413.20
  4. Step 4: Simplify right side
    779.12x = 482,452.32
  5. Step 5: Solve for x
    x = 482,452.32/779.12
  6. Step 6: Final answer
    x = 619.23

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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.