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Finding the Fourth Proportional to 571.67, 857.49 and 138.83

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Solution

The fourth proportional to 571.67, 857.49 and 138.83 is: 208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.67 : 857.49 = 138.83 : x
  2. Step 2: Convert to fraction form
    571.67/857.49 = 138.83/x
  3. Step 3: Cross multiply
    571.67x = 857.49 × 138.83
  4. Step 4: Simplify right side
    571.67x = 119,041.05
  5. Step 5: Solve for x
    x = 119,041.05/571.67
  6. Step 6: Final answer
    x = 208.24

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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.