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Finding the Fourth Proportional to 1,320.92, 1,977.26 and 882.53

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Solution

The fourth proportional to 1,320.92, 1,977.26 and 882.53 is: 1,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.92 : 1,977.26 = 882.53 : x
  2. Step 2: Convert to fraction form
    1,320.92/1,977.26 = 882.53/x
  3. Step 3: Cross multiply
    1,320.92x = 1,977.26 × 882.53
  4. Step 4: Simplify right side
    1,320.92x = 1,744,991.27
  5. Step 5: Solve for x
    x = 1,744,991.27/1,320.92
  6. Step 6: Final answer
    x = 1,321.04

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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.