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Finding the Fourth Proportional to 572.82, 859.33 and 182.71

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Solution

The fourth proportional to 572.82, 859.33 and 182.71 is: 274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.82 : 859.33 = 182.71 : x
  2. Step 2: Convert to fraction form
    572.82/859.33 = 182.71/x
  3. Step 3: Cross multiply
    572.82x = 859.33 × 182.71
  4. Step 4: Simplify right side
    572.82x = 157,005.17
  5. Step 5: Solve for x
    x = 157,005.17/572.82
  6. Step 6: Final answer
    x = 274.09

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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.