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Finding the Fourth Proportional to 882.45, 1,215.32 and 863.32

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Solution

The fourth proportional to 882.45, 1,215.32 and 863.32 is: 1,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.45 : 1,215.32 = 863.32 : x
  2. Step 2: Convert to fraction form
    882.45/1,215.32 = 863.32/x
  3. Step 3: Cross multiply
    882.45x = 1,215.32 × 863.32
  4. Step 4: Simplify right side
    882.45x = 1,049,202.71
  5. Step 5: Solve for x
    x = 1,049,202.71/882.45
  6. Step 6: Final answer
    x = 1,188.97

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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.