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Finding the Fourth Proportional to 882.20, 1,322.38 and 492.10

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Solution

The fourth proportional to 882.20, 1,322.38 and 492.10 is: 737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.20 : 1,322.38 = 492.10 : x
  2. Step 2: Convert to fraction form
    882.20/1,322.38 = 492.10/x
  3. Step 3: Cross multiply
    882.20x = 1,322.38 × 492.10
  4. Step 4: Simplify right side
    882.20x = 650,743.20
  5. Step 5: Solve for x
    x = 650,743.20/882.20
  6. Step 6: Final answer
    x = 737.64

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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.