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Finding the Fourth Proportional to 985.26, 1,478.25 and 408.18

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Solution

The fourth proportional to 985.26, 1,478.25 and 408.18 is: 612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.26 : 1,478.25 = 408.18 : x
  2. Step 2: Convert to fraction form
    985.26/1,478.25 = 408.18/x
  3. Step 3: Cross multiply
    985.26x = 1,478.25 × 408.18
  4. Step 4: Simplify right side
    985.26x = 603,392.09
  5. Step 5: Solve for x
    x = 603,392.09/985.26
  6. Step 6: Final answer
    x = 612.42

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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.