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Finding the Fourth Proportional to 986.59, 1,351.82 and 972.01

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Solution

The fourth proportional to 986.59, 1,351.82 and 972.01 is: 1,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.59 : 1,351.82 = 972.01 : x
  2. Step 2: Convert to fraction form
    986.59/1,351.82 = 972.01/x
  3. Step 3: Cross multiply
    986.59x = 1,351.82 × 972.01
  4. Step 4: Simplify right side
    986.59x = 1,313,982.56
  5. Step 5: Solve for x
    x = 1,313,982.56/986.59
  6. Step 6: Final answer
    x = 1,331.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.