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Finding the Fourth Proportional to 984.25, 1,358.02 and 665.81

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Solution

The fourth proportional to 984.25, 1,358.02 and 665.81 is: 918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.25 : 1,358.02 = 665.81 : x
  2. Step 2: Convert to fraction form
    984.25/1,358.02 = 665.81/x
  3. Step 3: Cross multiply
    984.25x = 1,358.02 × 665.81
  4. Step 4: Simplify right side
    984.25x = 904,183.30
  5. Step 5: Solve for x
    x = 904,183.30/984.25
  6. Step 6: Final answer
    x = 918.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.