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Finding the Fourth Proportional to 571.64, 857.81 and 224.91

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Solution

The fourth proportional to 571.64, 857.81 and 224.91 is: 337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.64 : 857.81 = 224.91 : x
  2. Step 2: Convert to fraction form
    571.64/857.81 = 224.91/x
  3. Step 3: Cross multiply
    571.64x = 857.81 × 224.91
  4. Step 4: Simplify right side
    571.64x = 192,932.39
  5. Step 5: Solve for x
    x = 192,932.39/571.64
  6. Step 6: Final answer
    x = 337.51

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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.