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Finding the Fourth Proportional to 572.69, 858.67 and 380.09

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Solution

The fourth proportional to 572.69, 858.67 and 380.09 is: 569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.69 : 858.67 = 380.09 : x
  2. Step 2: Convert to fraction form
    572.69/858.67 = 380.09/x
  3. Step 3: Cross multiply
    572.69x = 858.67 × 380.09
  4. Step 4: Simplify right side
    572.69x = 326,371.88
  5. Step 5: Solve for x
    x = 326,371.88/572.69
  6. Step 6: Final answer
    x = 569.89

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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.