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Finding the Fourth Proportional to 969.41, 1,446.63 and 865.58

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Solution

The fourth proportional to 969.41, 1,446.63 and 865.58 is: 1,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.41 : 1,446.63 = 865.58 : x
  2. Step 2: Convert to fraction form
    969.41/1,446.63 = 865.58/x
  3. Step 3: Cross multiply
    969.41x = 1,446.63 × 865.58
  4. Step 4: Simplify right side
    969.41x = 1,252,169.67
  5. Step 5: Solve for x
    x = 1,252,169.67/969.41
  6. Step 6: Final answer
    x = 1,291.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.