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Finding the Fourth Proportional to 588.96, 811.92 and 413.76

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Solution

The fourth proportional to 588.96, 811.92 and 413.76 is: 570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 811.92 = 413.76 : x
  2. Step 2: Convert to fraction form
    588.96/811.92 = 413.76/x
  3. Step 3: Cross multiply
    588.96x = 811.92 × 413.76
  4. Step 4: Simplify right side
    588.96x = 335,940.02
  5. Step 5: Solve for x
    x = 335,940.02/588.96
  6. Step 6: Final answer
    x = 570.40

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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.