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Finding the Fourth Proportional to 984.13, 1,358.06 and 564.19

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Solution

The fourth proportional to 984.13, 1,358.06 and 564.19 is: 778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.13 : 1,358.06 = 564.19 : x
  2. Step 2: Convert to fraction form
    984.13/1,358.06 = 564.19/x
  3. Step 3: Cross multiply
    984.13x = 1,358.06 × 564.19
  4. Step 4: Simplify right side
    984.13x = 766,208.47
  5. Step 5: Solve for x
    x = 766,208.47/984.13
  6. Step 6: Final answer
    x = 778.56

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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.