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Finding the Fourth Proportional to 882.22, 1,215.21 and 742.18

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Solution

The fourth proportional to 882.22, 1,215.21 and 742.18 is: 1,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.22 : 1,215.21 = 742.18 : x
  2. Step 2: Convert to fraction form
    882.22/1,215.21 = 742.18/x
  3. Step 3: Cross multiply
    882.22x = 1,215.21 × 742.18
  4. Step 4: Simplify right side
    882.22x = 901,904.56
  5. Step 5: Solve for x
    x = 901,904.56/882.22
  6. Step 6: Final answer
    x = 1,022.31

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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.