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Finding the Fourth Proportional to 687.26, 1,036.98 and 657.29

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Solution

The fourth proportional to 687.26, 1,036.98 and 657.29 is: 991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.26 : 1,036.98 = 657.29 : x
  2. Step 2: Convert to fraction form
    687.26/1,036.98 = 657.29/x
  3. Step 3: Cross multiply
    687.26x = 1,036.98 × 657.29
  4. Step 4: Simplify right side
    687.26x = 681,596.58
  5. Step 5: Solve for x
    x = 681,596.58/687.26
  6. Step 6: Final answer
    x = 991.76

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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.