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Finding the Fourth Proportional to 1,215.57, 1,676.14 and 821.91

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Solution

The fourth proportional to 1,215.57, 1,676.14 and 821.91 is: 1,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.57 : 1,676.14 = 821.91 : x
  2. Step 2: Convert to fraction form
    1,215.57/1,676.14 = 821.91/x
  3. Step 3: Cross multiply
    1,215.57x = 1,676.14 × 821.91
  4. Step 4: Simplify right side
    1,215.57x = 1,377,636.23
  5. Step 5: Solve for x
    x = 1,377,636.23/1,215.57
  6. Step 6: Final answer
    x = 1,133.33

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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.