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Finding the Fourth Proportional to 985.64, 1,469.14 and 911.79

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Solution

The fourth proportional to 985.64, 1,469.14 and 911.79 is: 1,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.64 : 1,469.14 = 911.79 : x
  2. Step 2: Convert to fraction form
    985.64/1,469.14 = 911.79/x
  3. Step 3: Cross multiply
    985.64x = 1,469.14 × 911.79
  4. Step 4: Simplify right side
    985.64x = 1,339,544.88
  5. Step 5: Solve for x
    x = 1,339,544.88/985.64
  6. Step 6: Final answer
    x = 1,359.07

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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.