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Finding the Fourth Proportional to 961.97, 1,440.34 and 755.35

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Solution

The fourth proportional to 961.97, 1,440.34 and 755.35 is: 1,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.97 : 1,440.34 = 755.35 : x
  2. Step 2: Convert to fraction form
    961.97/1,440.34 = 755.35/x
  3. Step 3: Cross multiply
    961.97x = 1,440.34 × 755.35
  4. Step 4: Simplify right side
    961.97x = 1,087,955.33
  5. Step 5: Solve for x
    x = 1,087,955.33/961.97
  6. Step 6: Final answer
    x = 1,130.96

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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.