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Finding the Fourth Proportional to 881.64, 1,215.94 and 549.44

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Solution

The fourth proportional to 881.64, 1,215.94 and 549.44 is: 757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.64 : 1,215.94 = 549.44 : x
  2. Step 2: Convert to fraction form
    881.64/1,215.94 = 549.44/x
  3. Step 3: Cross multiply
    881.64x = 1,215.94 × 549.44
  4. Step 4: Simplify right side
    881.64x = 668,086.07
  5. Step 5: Solve for x
    x = 668,086.07/881.64
  6. Step 6: Final answer
    x = 757.78

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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.