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Finding the Fourth Proportional to 564.09, 846.13 and 381.03

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Solution

The fourth proportional to 564.09, 846.13 and 381.03 is: 571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.09 : 846.13 = 381.03 : x
  2. Step 2: Convert to fraction form
    564.09/846.13 = 381.03/x
  3. Step 3: Cross multiply
    564.09x = 846.13 × 381.03
  4. Step 4: Simplify right side
    564.09x = 322,400.91
  5. Step 5: Solve for x
    x = 322,400.91/564.09
  6. Step 6: Final answer
    x = 571.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.