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Finding the Fourth Proportional to 486.84, 672.60 and 413.92

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Solution

The fourth proportional to 486.84, 672.60 and 413.92 is: 571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.84 : 672.60 = 413.92 : x
  2. Step 2: Convert to fraction form
    486.84/672.60 = 413.92/x
  3. Step 3: Cross multiply
    486.84x = 672.60 × 413.92
  4. Step 4: Simplify right side
    486.84x = 278,402.59
  5. Step 5: Solve for x
    x = 278,402.59/486.84
  6. Step 6: Final answer
    x = 571.86

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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.