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Finding the Fourth Proportional to 564.11, 777.65 and 485.09

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Solution

The fourth proportional to 564.11, 777.65 and 485.09 is: 668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.11 : 777.65 = 485.09 : x
  2. Step 2: Convert to fraction form
    564.11/777.65 = 485.09/x
  3. Step 3: Cross multiply
    564.11x = 777.65 × 485.09
  4. Step 4: Simplify right side
    564.11x = 377,229.57
  5. Step 5: Solve for x
    x = 377,229.57/564.11
  6. Step 6: Final answer
    x = 668.71

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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.