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Finding the Fourth Proportional to 618.70, 853.80 and 338.93

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Solution

The fourth proportional to 618.70, 853.80 and 338.93 is: 467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.70 : 853.80 = 338.93 : x
  2. Step 2: Convert to fraction form
    618.70/853.80 = 338.93/x
  3. Step 3: Cross multiply
    618.70x = 853.80 × 338.93
  4. Step 4: Simplify right side
    618.70x = 289,376.26
  5. Step 5: Solve for x
    x = 289,376.26/618.70
  6. Step 6: Final answer
    x = 467.72

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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.