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Finding the Fourth Proportional to 966.33, 1,448.85 and 781.46

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Solution

The fourth proportional to 966.33, 1,448.85 and 781.46 is: 1,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.33 : 1,448.85 = 781.46 : x
  2. Step 2: Convert to fraction form
    966.33/1,448.85 = 781.46/x
  3. Step 3: Cross multiply
    966.33x = 1,448.85 × 781.46
  4. Step 4: Simplify right side
    966.33x = 1,132,218.32
  5. Step 5: Solve for x
    x = 1,132,218.32/966.33
  6. Step 6: Final answer
    x = 1,171.67

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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.