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Finding the Fourth Proportional to 618.14, 852.84 and 356.12

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Solution

The fourth proportional to 618.14, 852.84 and 356.12 is: 491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.14 : 852.84 = 356.12 : x
  2. Step 2: Convert to fraction form
    618.14/852.84 = 356.12/x
  3. Step 3: Cross multiply
    618.14x = 852.84 × 356.12
  4. Step 4: Simplify right side
    618.14x = 303,713.38
  5. Step 5: Solve for x
    x = 303,713.38/618.14
  6. Step 6: Final answer
    x = 491.33

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1.5x scale

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.