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Finding the Fourth Proportional to 417.56, 624.84 and 330.12

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Solution

The fourth proportional to 417.56, 624.84 and 330.12 is: 493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 624.84 = 330.12 : x
  2. Step 2: Convert to fraction form
    417.56/624.84 = 330.12/x
  3. Step 3: Cross multiply
    417.56x = 624.84 × 330.12
  4. Step 4: Simplify right side
    417.56x = 206,272.18
  5. Step 5: Solve for x
    x = 206,272.18/417.56
  6. Step 6: Final answer
    x = 493.99

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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.