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Finding the Fourth Proportional to 961.49, 1,444.97 and 689.33

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Solution

The fourth proportional to 961.49, 1,444.97 and 689.33 is: 1,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.49 : 1,444.97 = 689.33 : x
  2. Step 2: Convert to fraction form
    961.49/1,444.97 = 689.33/x
  3. Step 3: Cross multiply
    961.49x = 1,444.97 × 689.33
  4. Step 4: Simplify right side
    961.49x = 996,066.51
  5. Step 5: Solve for x
    x = 996,066.51/961.49
  6. Step 6: Final answer
    x = 1,035.96

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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.