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Finding the Fourth Proportional to 676.31, 1,012.71 and 579.43

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Solution

The fourth proportional to 676.31, 1,012.71 and 579.43 is: 867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.31 : 1,012.71 = 579.43 : x
  2. Step 2: Convert to fraction form
    676.31/1,012.71 = 579.43/x
  3. Step 3: Cross multiply
    676.31x = 1,012.71 × 579.43
  4. Step 4: Simplify right side
    676.31x = 586,797.99
  5. Step 5: Solve for x
    x = 586,797.99/676.31
  6. Step 6: Final answer
    x = 867.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.