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Finding the Fourth Proportional to 685.23, 1,026.31 and 662.16

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Solution

The fourth proportional to 685.23, 1,026.31 and 662.16 is: 991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.23 : 1,026.31 = 662.16 : x
  2. Step 2: Convert to fraction form
    685.23/1,026.31 = 662.16/x
  3. Step 3: Cross multiply
    685.23x = 1,026.31 × 662.16
  4. Step 4: Simplify right side
    685.23x = 679,578.12
  5. Step 5: Solve for x
    x = 679,578.12/685.23
  6. Step 6: Final answer
    x = 991.75

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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.