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Finding the Fourth Proportional to 1,214.72, 1,676.20 and 821.88

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Solution

The fourth proportional to 1,214.72, 1,676.20 and 821.88 is: 1,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.72 : 1,676.20 = 821.88 : x
  2. Step 2: Convert to fraction form
    1,214.72/1,676.20 = 821.88/x
  3. Step 3: Cross multiply
    1,214.72x = 1,676.20 × 821.88
  4. Step 4: Simplify right side
    1,214.72x = 1,377,635.26
  5. Step 5: Solve for x
    x = 1,377,635.26/1,214.72
  6. Step 6: Final answer
    x = 1,134.12

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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.