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Finding the Fourth Proportional to 632.80, 949.48 and 413.02

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Solution

The fourth proportional to 632.80, 949.48 and 413.02 is: 619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.80 : 949.48 = 413.02 : x
  2. Step 2: Convert to fraction form
    632.80/949.48 = 413.02/x
  3. Step 3: Cross multiply
    632.80x = 949.48 × 413.02
  4. Step 4: Simplify right side
    632.80x = 392,154.23
  5. Step 5: Solve for x
    x = 392,154.23/632.80
  6. Step 6: Final answer
    x = 619.71

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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.