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Finding the Fourth Proportional to 571.72, 784.25 and 538.60

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Solution

The fourth proportional to 571.72, 784.25 and 538.60 is: 738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.72 : 784.25 = 538.60 : x
  2. Step 2: Convert to fraction form
    571.72/784.25 = 538.60/x
  3. Step 3: Cross multiply
    571.72x = 784.25 × 538.60
  4. Step 4: Simplify right side
    571.72x = 422,397.05
  5. Step 5: Solve for x
    x = 422,397.05/571.72
  6. Step 6: Final answer
    x = 738.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.