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Finding the Fourth Proportional to 618.19, 853.37 and 408.46

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Solution

The fourth proportional to 618.19, 853.37 and 408.46 is: 563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.19 : 853.37 = 408.46 : x
  2. Step 2: Convert to fraction form
    618.19/853.37 = 408.46/x
  3. Step 3: Cross multiply
    618.19x = 853.37 × 408.46
  4. Step 4: Simplify right side
    618.19x = 348,567.51
  5. Step 5: Solve for x
    x = 348,567.51/618.19
  6. Step 6: Final answer
    x = 563.85

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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.