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Finding the Fourth Proportional to 882.83, 1,215.84 and 633.72

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Solution

The fourth proportional to 882.83, 1,215.84 and 633.72 is: 872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.83 : 1,215.84 = 633.72 : x
  2. Step 2: Convert to fraction form
    882.83/1,215.84 = 633.72/x
  3. Step 3: Cross multiply
    882.83x = 1,215.84 × 633.72
  4. Step 4: Simplify right side
    882.83x = 770,496.02
  5. Step 5: Solve for x
    x = 770,496.02/882.83
  6. Step 6: Final answer
    x = 872.76

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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.