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Finding the Fourth Proportional to 984.05, 1,357.86 and 564.34

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Solution

The fourth proportional to 984.05, 1,357.86 and 564.34 is: 778.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.05 : 1,357.86 = 564.34 : x
  2. Step 2: Convert to fraction form
    984.05/1,357.86 = 564.34/x
  3. Step 3: Cross multiply
    984.05x = 1,357.86 × 564.34
  4. Step 4: Simplify right side
    984.05x = 766,299.80
  5. Step 5: Solve for x
    x = 766,299.80/984.05
  6. Step 6: Final answer
    x = 778.72

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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.