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Finding the Fourth Proportional to 986.39, 1,478.78 and 369.75

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Solution

The fourth proportional to 986.39, 1,478.78 and 369.75 is: 554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.39 : 1,478.78 = 369.75 : x
  2. Step 2: Convert to fraction form
    986.39/1,478.78 = 369.75/x
  3. Step 3: Cross multiply
    986.39x = 1,478.78 × 369.75
  4. Step 4: Simplify right side
    986.39x = 546,777.06
  5. Step 5: Solve for x
    x = 546,777.06/986.39
  6. Step 6: Final answer
    x = 554.32

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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.