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Finding the Fourth Proportional to 413.26, 569.69 and 314.85

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Solution

The fourth proportional to 413.26, 569.69 and 314.85 is: 434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.26 : 569.69 = 314.85 : x
  2. Step 2: Convert to fraction form
    413.26/569.69 = 314.85/x
  3. Step 3: Cross multiply
    413.26x = 569.69 × 314.85
  4. Step 4: Simplify right side
    413.26x = 179,364.05
  5. Step 5: Solve for x
    x = 179,364.05/413.26
  6. Step 6: Final answer
    x = 434.02

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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.