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Finding the Fourth Proportional to 618.85, 854.00 and 339.08

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Solution

The fourth proportional to 618.85, 854.00 and 339.08 is: 467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.85 : 854.00 = 339.08 : x
  2. Step 2: Convert to fraction form
    618.85/854.00 = 339.08/x
  3. Step 3: Cross multiply
    618.85x = 854.00 × 339.08
  4. Step 4: Simplify right side
    618.85x = 289,572.62
  5. Step 5: Solve for x
    x = 289,572.62/618.85
  6. Step 6: Final answer
    x = 467.92

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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.