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Finding the Fourth Proportional to 485.76, 727.20 and 413.76

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Solution

The fourth proportional to 485.76, 727.20 and 413.76 is: 619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.76 : 727.20 = 413.76 : x
  2. Step 2: Convert to fraction form
    485.76/727.20 = 413.76/x
  3. Step 3: Cross multiply
    485.76x = 727.20 × 413.76
  4. Step 4: Simplify right side
    485.76x = 300,886.27
  5. Step 5: Solve for x
    x = 300,886.27/485.76
  6. Step 6: Final answer
    x = 619.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.