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Finding the Fourth Proportional to 564.33, 778.05 and 485.49

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Solution

The fourth proportional to 564.33, 778.05 and 485.49 is: 669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.33 : 778.05 = 485.49 : x
  2. Step 2: Convert to fraction form
    564.33/778.05 = 485.49/x
  3. Step 3: Cross multiply
    564.33x = 778.05 × 485.49
  4. Step 4: Simplify right side
    564.33x = 377,735.49
  5. Step 5: Solve for x
    x = 377,735.49/564.33
  6. Step 6: Final answer
    x = 669.35

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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.