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Finding the Fourth Proportional to 882.12, 1,322.47 and 443.13

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Solution

The fourth proportional to 882.12, 1,322.47 and 443.13 is: 664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.12 : 1,322.47 = 443.13 : x
  2. Step 2: Convert to fraction form
    882.12/1,322.47 = 443.13/x
  3. Step 3: Cross multiply
    882.12x = 1,322.47 × 443.13
  4. Step 4: Simplify right side
    882.12x = 586,029.16
  5. Step 5: Solve for x
    x = 586,029.16/882.12
  6. Step 6: Final answer
    x = 664.34

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Double scale
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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.