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Finding the Fourth Proportional to 689.41, 1,026.30 and 685.77

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Solution

The fourth proportional to 689.41, 1,026.30 and 685.77 is: 1,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.41 : 1,026.30 = 685.77 : x
  2. Step 2: Convert to fraction form
    689.41/1,026.30 = 685.77/x
  3. Step 3: Cross multiply
    689.41x = 1,026.30 × 685.77
  4. Step 4: Simplify right side
    689.41x = 703,805.75
  5. Step 5: Solve for x
    x = 703,805.75/689.41
  6. Step 6: Final answer
    x = 1,020.88

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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.