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Finding the Fourth Proportional to 572.05, 857.33 and 259.47

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Solution

The fourth proportional to 572.05, 857.33 and 259.47 is: 388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.05 : 857.33 = 259.47 : x
  2. Step 2: Convert to fraction form
    572.05/857.33 = 259.47/x
  3. Step 3: Cross multiply
    572.05x = 857.33 × 259.47
  4. Step 4: Simplify right side
    572.05x = 222,451.42
  5. Step 5: Solve for x
    x = 222,451.42/572.05
  6. Step 6: Final answer
    x = 388.87

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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.