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Finding the Fourth Proportional to 571.71, 851.54 and 559.71

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Solution

The fourth proportional to 571.71, 851.54 and 559.71 is: 833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.71 : 851.54 = 559.71 : x
  2. Step 2: Convert to fraction form
    571.71/851.54 = 559.71/x
  3. Step 3: Cross multiply
    571.71x = 851.54 × 559.71
  4. Step 4: Simplify right side
    571.71x = 476,616.85
  5. Step 5: Solve for x
    x = 476,616.85/571.71
  6. Step 6: Final answer
    x = 833.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.