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Finding the Fourth Proportional to 882.58, 1,215.49 and 863.45

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Solution

The fourth proportional to 882.58, 1,215.49 and 863.45 is: 1,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.58 : 1,215.49 = 863.45 : x
  2. Step 2: Convert to fraction form
    882.58/1,215.49 = 863.45/x
  3. Step 3: Cross multiply
    882.58x = 1,215.49 × 863.45
  4. Step 4: Simplify right side
    882.58x = 1,049,504.45
  5. Step 5: Solve for x
    x = 1,049,504.45/882.58
  6. Step 6: Final answer
    x = 1,189.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.