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Finding the Fourth Proportional to 564.81, 778.04 and 482.19

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Solution

The fourth proportional to 564.81, 778.04 and 482.19 is: 664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.81 : 778.04 = 482.19 : x
  2. Step 2: Convert to fraction form
    564.81/778.04 = 482.19/x
  3. Step 3: Cross multiply
    564.81x = 778.04 × 482.19
  4. Step 4: Simplify right side
    564.81x = 375,166.68
  5. Step 5: Solve for x
    x = 375,166.68/564.81
  6. Step 6: Final answer
    x = 664.23

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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.