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Finding the Fourth Proportional to 413.30, 617.55 and 413.30

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Solution

The fourth proportional to 413.30, 617.55 and 413.30 is: 617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.30 : 617.55 = 413.30 : x
  2. Step 2: Convert to fraction form
    413.30/617.55 = 413.30/x
  3. Step 3: Cross multiply
    413.30x = 617.55 × 413.30
  4. Step 4: Simplify right side
    413.30x = 255,231.35
  5. Step 5: Solve for x
    x = 255,231.35/413.30
  6. Step 6: Final answer
    x = 617.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.