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Finding the Fourth Proportional to 984.06, 1,357.94 and 564.39

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Solution

The fourth proportional to 984.06, 1,357.94 and 564.39 is: 778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.06 : 1,357.94 = 564.39 : x
  2. Step 2: Convert to fraction form
    984.06/1,357.94 = 564.39/x
  3. Step 3: Cross multiply
    984.06x = 1,357.94 × 564.39
  4. Step 4: Simplify right side
    984.06x = 766,404.93
  5. Step 5: Solve for x
    x = 766,404.93/984.06
  6. Step 6: Final answer
    x = 778.82

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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.