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Finding the Fourth Proportional to 986.02, 1,359.82 and 885.04

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Solution

The fourth proportional to 986.02, 1,359.82 and 885.04 is: 1,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.02 : 1,359.82 = 885.04 : x
  2. Step 2: Convert to fraction form
    986.02/1,359.82 = 885.04/x
  3. Step 3: Cross multiply
    986.02x = 1,359.82 × 885.04
  4. Step 4: Simplify right side
    986.02x = 1,203,495.09
  5. Step 5: Solve for x
    x = 1,203,495.09/986.02
  6. Step 6: Final answer
    x = 1,220.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.