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Finding the Fourth Proportional to 662.02, 913.61 and 413.15

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Solution

The fourth proportional to 662.02, 913.61 and 413.15 is: 570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.02 : 913.61 = 413.15 : x
  2. Step 2: Convert to fraction form
    662.02/913.61 = 413.15/x
  3. Step 3: Cross multiply
    662.02x = 913.61 × 413.15
  4. Step 4: Simplify right side
    662.02x = 377,454.44
  5. Step 5: Solve for x
    x = 377,454.44/662.02
  6. Step 6: Final answer
    x = 570.16

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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.