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Finding the Fourth Proportional to 569.78, 785.79 and 413.45

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Solution

The fourth proportional to 569.78, 785.79 and 413.45 is: 570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.78 : 785.79 = 413.45 : x
  2. Step 2: Convert to fraction form
    569.78/785.79 = 413.45/x
  3. Step 3: Cross multiply
    569.78x = 785.79 × 413.45
  4. Step 4: Simplify right side
    569.78x = 324,880.95
  5. Step 5: Solve for x
    x = 324,880.95/569.78
  6. Step 6: Final answer
    x = 570.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.