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Finding the Fourth Proportional to 689.18, 1,027.59 and 676.88

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Solution

The fourth proportional to 689.18, 1,027.59 and 676.88 is: 1,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.18 : 1,027.59 = 676.88 : x
  2. Step 2: Convert to fraction form
    689.18/1,027.59 = 676.88/x
  3. Step 3: Cross multiply
    689.18x = 1,027.59 × 676.88
  4. Step 4: Simplify right side
    689.18x = 695,553.83
  5. Step 5: Solve for x
    x = 695,553.83/689.18
  6. Step 6: Final answer
    x = 1,009.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.