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Finding the Fourth Proportional to 471.04, 703.36 and 413.44

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Solution

The fourth proportional to 471.04, 703.36 and 413.44 is: 617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.04 : 703.36 = 413.44 : x
  2. Step 2: Convert to fraction form
    471.04/703.36 = 413.44/x
  3. Step 3: Cross multiply
    471.04x = 703.36 × 413.44
  4. Step 4: Simplify right side
    471.04x = 290,797.16
  5. Step 5: Solve for x
    x = 290,797.16/471.04
  6. Step 6: Final answer
    x = 617.35

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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.