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Finding the Fourth Proportional to 571.65, 788.36 and 374.82

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Solution

The fourth proportional to 571.65, 788.36 and 374.82 is: 516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.65 : 788.36 = 374.82 : x
  2. Step 2: Convert to fraction form
    571.65/788.36 = 374.82/x
  3. Step 3: Cross multiply
    571.65x = 788.36 × 374.82
  4. Step 4: Simplify right side
    571.65x = 295,493.10
  5. Step 5: Solve for x
    x = 295,493.10/571.65
  6. Step 6: Final answer
    x = 516.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.