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Finding the Fourth Proportional to 961.67, 1,440.88 and 756.47

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Solution

The fourth proportional to 961.67, 1,440.88 and 756.47 is: 1,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.67 : 1,440.88 = 756.47 : x
  2. Step 2: Convert to fraction form
    961.67/1,440.88 = 756.47/x
  3. Step 3: Cross multiply
    961.67x = 1,440.88 × 756.47
  4. Step 4: Simplify right side
    961.67x = 1,089,973.40
  5. Step 5: Solve for x
    x = 1,089,973.40/961.67
  6. Step 6: Final answer
    x = 1,133.42

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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.