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Finding the Fourth Proportional to 689.69, 1,036.16 and 636.23

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Solution

The fourth proportional to 689.69, 1,036.16 and 636.23 is: 955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.69 : 1,036.16 = 636.23 : x
  2. Step 2: Convert to fraction form
    689.69/1,036.16 = 636.23/x
  3. Step 3: Cross multiply
    689.69x = 1,036.16 × 636.23
  4. Step 4: Simplify right side
    689.69x = 659,236.08
  5. Step 5: Solve for x
    x = 659,236.08/689.69
  6. Step 6: Final answer
    x = 955.84

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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.