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Finding the Fourth Proportional to 986.81, 1,482.91 and 950.36

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Solution

The fourth proportional to 986.81, 1,482.91 and 950.36 is: 1,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.81 : 1,482.91 = 950.36 : x
  2. Step 2: Convert to fraction form
    986.81/1,482.91 = 950.36/x
  3. Step 3: Cross multiply
    986.81x = 1,482.91 × 950.36
  4. Step 4: Simplify right side
    986.81x = 1,409,288.56
  5. Step 5: Solve for x
    x = 1,409,288.56/986.81
  6. Step 6: Final answer
    x = 1,428.13

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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.