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Finding the Fourth Proportional to 676.82, 1,020.80 and 654.92

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Solution

The fourth proportional to 676.82, 1,020.80 and 654.92 is: 987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.82 : 1,020.80 = 654.92 : x
  2. Step 2: Convert to fraction form
    676.82/1,020.80 = 654.92/x
  3. Step 3: Cross multiply
    676.82x = 1,020.80 × 654.92
  4. Step 4: Simplify right side
    676.82x = 668,542.34
  5. Step 5: Solve for x
    x = 668,542.34/676.82
  6. Step 6: Final answer
    x = 987.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.