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Finding the Fourth Proportional to 571.81, 857.64 and 225.13

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Solution

The fourth proportional to 571.81, 857.64 and 225.13 is: 337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.81 : 857.64 = 225.13 : x
  2. Step 2: Convert to fraction form
    571.81/857.64 = 225.13/x
  3. Step 3: Cross multiply
    571.81x = 857.64 × 225.13
  4. Step 4: Simplify right side
    571.81x = 193,076.21
  5. Step 5: Solve for x
    x = 193,076.21/571.81
  6. Step 6: Final answer
    x = 337.66

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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.