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Finding the Fourth Proportional to 986.71, 1,481.28 and 904.09

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Solution

The fourth proportional to 986.71, 1,481.28 and 904.09 is: 1,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.71 : 1,481.28 = 904.09 : x
  2. Step 2: Convert to fraction form
    986.71/1,481.28 = 904.09/x
  3. Step 3: Cross multiply
    986.71x = 1,481.28 × 904.09
  4. Step 4: Simplify right side
    986.71x = 1,339,210.44
  5. Step 5: Solve for x
    x = 1,339,210.44/986.71
  6. Step 6: Final answer
    x = 1,357.25

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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.