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Finding the Fourth Proportional to 415.79, 624.49 and 338.81

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Solution

The fourth proportional to 415.79, 624.49 and 338.81 is: 508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.79 : 624.49 = 338.81 : x
  2. Step 2: Convert to fraction form
    415.79/624.49 = 338.81/x
  3. Step 3: Cross multiply
    415.79x = 624.49 × 338.81
  4. Step 4: Simplify right side
    415.79x = 211,579.49
  5. Step 5: Solve for x
    x = 211,579.49/415.79
  6. Step 6: Final answer
    x = 508.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.