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Finding the Fourth Proportional to 413.43, 620.40 and 410.15

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Solution

The fourth proportional to 413.43, 620.40 and 410.15 is: 615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.43 : 620.40 = 410.15 : x
  2. Step 2: Convert to fraction form
    413.43/620.40 = 410.15/x
  3. Step 3: Cross multiply
    413.43x = 620.40 × 410.15
  4. Step 4: Simplify right side
    413.43x = 254,453.96
  5. Step 5: Solve for x
    x = 254,453.96/413.43
  6. Step 6: Final answer
    x = 615.47

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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.