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Finding the Fourth Proportional to 882.22, 1,322.38 and 334.16

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Solution

The fourth proportional to 882.22, 1,322.38 and 334.16 is: 500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.22 : 1,322.38 = 334.16 : x
  2. Step 2: Convert to fraction form
    882.22/1,322.38 = 334.16/x
  3. Step 3: Cross multiply
    882.22x = 1,322.38 × 334.16
  4. Step 4: Simplify right side
    882.22x = 441,886.50
  5. Step 5: Solve for x
    x = 441,886.50/882.22
  6. Step 6: Final answer
    x = 500.88

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1.5x scale

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.