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Finding the Fourth Proportional to 779.16, 1,166.04 and 413.04

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Solution

The fourth proportional to 779.16, 1,166.04 and 413.04 is: 618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.16 : 1,166.04 = 413.04 : x
  2. Step 2: Convert to fraction form
    779.16/1,166.04 = 413.04/x
  3. Step 3: Cross multiply
    779.16x = 1,166.04 × 413.04
  4. Step 4: Simplify right side
    779.16x = 481,621.16
  5. Step 5: Solve for x
    x = 481,621.16/779.16
  6. Step 6: Final answer
    x = 618.13

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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.