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Finding the Fourth Proportional to 984.45, 1,358.82 and 689.79

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Solution

The fourth proportional to 984.45, 1,358.82 and 689.79 is: 952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.45 : 1,358.82 = 689.79 : x
  2. Step 2: Convert to fraction form
    984.45/1,358.82 = 689.79/x
  3. Step 3: Cross multiply
    984.45x = 1,358.82 × 689.79
  4. Step 4: Simplify right side
    984.45x = 937,300.45
  5. Step 5: Solve for x
    x = 937,300.45/984.45
  6. Step 6: Final answer
    x = 952.11

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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.