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Finding the Fourth Proportional to 571.11, 786.10 and 423.49

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Solution

The fourth proportional to 571.11, 786.10 and 423.49 is: 582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.11 : 786.10 = 423.49 : x
  2. Step 2: Convert to fraction form
    571.11/786.10 = 423.49/x
  3. Step 3: Cross multiply
    571.11x = 786.10 × 423.49
  4. Step 4: Simplify right side
    571.11x = 332,905.49
  5. Step 5: Solve for x
    x = 332,905.49/571.11
  6. Step 6: Final answer
    x = 582.91

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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.