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Finding the Fourth Proportional to 985.36, 1,478.05 and 254.89

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Solution

The fourth proportional to 985.36, 1,478.05 and 254.89 is: 382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.36 : 1,478.05 = 254.89 : x
  2. Step 2: Convert to fraction form
    985.36/1,478.05 = 254.89/x
  3. Step 3: Cross multiply
    985.36x = 1,478.05 × 254.89
  4. Step 4: Simplify right side
    985.36x = 376,741.37
  5. Step 5: Solve for x
    x = 376,741.37/985.36
  6. Step 6: Final answer
    x = 382.34

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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.