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Finding the Fourth Proportional to 986.13, 1,354.77 and 882.57

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Solution

The fourth proportional to 986.13, 1,354.77 and 882.57 is: 1,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.13 : 1,354.77 = 882.57 : x
  2. Step 2: Convert to fraction form
    986.13/1,354.77 = 882.57/x
  3. Step 3: Cross multiply
    986.13x = 1,354.77 × 882.57
  4. Step 4: Simplify right side
    986.13x = 1,195,679.36
  5. Step 5: Solve for x
    x = 1,195,679.36/986.13
  6. Step 6: Final answer
    x = 1,212.50

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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.