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Finding the Fourth Proportional to 618.65, 852.13 and 431.80

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Solution

The fourth proportional to 618.65, 852.13 and 431.80 is: 594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.65 : 852.13 = 431.80 : x
  2. Step 2: Convert to fraction form
    618.65/852.13 = 431.80/x
  3. Step 3: Cross multiply
    618.65x = 852.13 × 431.80
  4. Step 4: Simplify right side
    618.65x = 367,949.73
  5. Step 5: Solve for x
    x = 367,949.73/618.65
  6. Step 6: Final answer
    x = 594.76

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