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Finding the Fourth Proportional to 882.04, 1,321.44 and 496.48

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Solution

The fourth proportional to 882.04, 1,321.44 and 496.48 is: 743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.04 : 1,321.44 = 496.48 : x
  2. Step 2: Convert to fraction form
    882.04/1,321.44 = 496.48/x
  3. Step 3: Cross multiply
    882.04x = 1,321.44 × 496.48
  4. Step 4: Simplify right side
    882.04x = 656,068.53
  5. Step 5: Solve for x
    x = 656,068.53/882.04
  6. Step 6: Final answer
    x = 743.81

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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.