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Finding the Fourth Proportional to 571.82, 857.45 and 398.57

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Solution

The fourth proportional to 571.82, 857.45 and 398.57 is: 597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.82 : 857.45 = 398.57 : x
  2. Step 2: Convert to fraction form
    571.82/857.45 = 398.57/x
  3. Step 3: Cross multiply
    571.82x = 857.45 × 398.57
  4. Step 4: Simplify right side
    571.82x = 341,753.85
  5. Step 5: Solve for x
    x = 341,753.85/571.82
  6. Step 6: Final answer
    x = 597.66

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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.