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Finding the Fourth Proportional to 984.12, 1,358.02 and 564.42

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Solution

The fourth proportional to 984.12, 1,358.02 and 564.42 is: 778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.12 : 1,358.02 = 564.42 : x
  2. Step 2: Convert to fraction form
    984.12/1,358.02 = 564.42/x
  3. Step 3: Cross multiply
    984.12x = 1,358.02 × 564.42
  4. Step 4: Simplify right side
    984.12x = 766,493.65
  5. Step 5: Solve for x
    x = 766,493.65/984.12
  6. Step 6: Final answer
    x = 778.86

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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.