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Finding the Fourth Proportional to 882.46, 1,322.96 and 334.34

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Solution

The fourth proportional to 882.46, 1,322.96 and 334.34 is: 501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.46 : 1,322.96 = 334.34 : x
  2. Step 2: Convert to fraction form
    882.46/1,322.96 = 334.34/x
  3. Step 3: Cross multiply
    882.46x = 1,322.96 × 334.34
  4. Step 4: Simplify right side
    882.46x = 442,318.45
  5. Step 5: Solve for x
    x = 442,318.45/882.46
  6. Step 6: Final answer
    x = 501.23

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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.