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Finding the Fourth Proportional to 413.66, 617.16 and 394.07

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Solution

The fourth proportional to 413.66, 617.16 and 394.07 is: 587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.66 : 617.16 = 394.07 : x
  2. Step 2: Convert to fraction form
    413.66/617.16 = 394.07/x
  3. Step 3: Cross multiply
    413.66x = 617.16 × 394.07
  4. Step 4: Simplify right side
    413.66x = 243,204.24
  5. Step 5: Solve for x
    x = 243,204.24/413.66
  6. Step 6: Final answer
    x = 587.93

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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.