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Finding the Fourth Proportional to 446.66, 670 and 413.18

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Solution

The fourth proportional to 446.66, 670 and 413.18 is: 619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.66 : 670 = 413.18 : x
  2. Step 2: Convert to fraction form
    446.66/670 = 413.18/x
  3. Step 3: Cross multiply
    446.66x = 670 × 413.18
  4. Step 4: Simplify right side
    446.66x = 276,830.60
  5. Step 5: Solve for x
    x = 276,830.60/446.66
  6. Step 6: Final answer
    x = 619.78

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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.