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Finding the Fourth Proportional to 881.89, 1,215.34 and 763.50

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Solution

The fourth proportional to 881.89, 1,215.34 and 763.50 is: 1,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.89 : 1,215.34 = 763.50 : x
  2. Step 2: Convert to fraction form
    881.89/1,215.34 = 763.50/x
  3. Step 3: Cross multiply
    881.89x = 1,215.34 × 763.50
  4. Step 4: Simplify right side
    881.89x = 927,912.09
  5. Step 5: Solve for x
    x = 927,912.09/881.89
  6. Step 6: Final answer
    x = 1,052.19

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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.