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Finding the Fourth Proportional to 415.67, 624.21 and 398.25

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Solution

The fourth proportional to 415.67, 624.21 and 398.25 is: 598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.67 : 624.21 = 398.25 : x
  2. Step 2: Convert to fraction form
    415.67/624.21 = 398.25/x
  3. Step 3: Cross multiply
    415.67x = 624.21 × 398.25
  4. Step 4: Simplify right side
    415.67x = 248,590.14
  5. Step 5: Solve for x
    x = 248,590.14/415.67
  6. Step 6: Final answer
    x = 598.05

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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.