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Finding the Fourth Proportional to 571.27, 789.21 and 538.87

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Solution

The fourth proportional to 571.27, 789.21 and 538.87 is: 744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.27 : 789.21 = 538.87 : x
  2. Step 2: Convert to fraction form
    571.27/789.21 = 538.87/x
  3. Step 3: Cross multiply
    571.27x = 789.21 × 538.87
  4. Step 4: Simplify right side
    571.27x = 425,281.59
  5. Step 5: Solve for x
    x = 425,281.59/571.27
  6. Step 6: Final answer
    x = 744.45

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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.