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Finding the Fourth Proportional to 985.45, 1,478.06 and 254.97

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Solution

The fourth proportional to 985.45, 1,478.06 and 254.97 is: 382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.45 : 1,478.06 = 254.97 : x
  2. Step 2: Convert to fraction form
    985.45/1,478.06 = 254.97/x
  3. Step 3: Cross multiply
    985.45x = 1,478.06 × 254.97
  4. Step 4: Simplify right side
    985.45x = 376,863.76
  5. Step 5: Solve for x
    x = 376,863.76/985.45
  6. Step 6: Final answer
    x = 382.43

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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.