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Finding the Fourth Proportional to 618.28, 852.70 and 408.47

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Solution

The fourth proportional to 618.28, 852.70 and 408.47 is: 563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.28 : 852.70 = 408.47 : x
  2. Step 2: Convert to fraction form
    618.28/852.70 = 408.47/x
  3. Step 3: Cross multiply
    618.28x = 852.70 × 408.47
  4. Step 4: Simplify right side
    618.28x = 348,301.40
  5. Step 5: Solve for x
    x = 348,301.40/618.28
  6. Step 6: Final answer
    x = 563.34

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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.