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Finding the Fourth Proportional to 716.15, 1,074.38 and 408.21

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Solution

The fourth proportional to 716.15, 1,074.38 and 408.21 is: 612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.15 : 1,074.38 = 408.21 : x
  2. Step 2: Convert to fraction form
    716.15/1,074.38 = 408.21/x
  3. Step 3: Cross multiply
    716.15x = 1,074.38 × 408.21
  4. Step 4: Simplify right side
    716.15x = 438,570.62
  5. Step 5: Solve for x
    x = 438,570.62/716.15
  6. Step 6: Final answer
    x = 612.40

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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.