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Finding the Fourth Proportional to 588.26, 811.53 and 413.71

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Solution

The fourth proportional to 588.26, 811.53 and 413.71 is: 570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.26 : 811.53 = 413.71 : x
  2. Step 2: Convert to fraction form
    588.26/811.53 = 413.71/x
  3. Step 3: Cross multiply
    588.26x = 811.53 × 413.71
  4. Step 4: Simplify right side
    588.26x = 335,738.08
  5. Step 5: Solve for x
    x = 335,738.08/588.26
  6. Step 6: Final answer
    x = 570.73

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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.