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Finding the Fourth Proportional to 418.99, 624.24 and 398.34

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Solution

The fourth proportional to 418.99, 624.24 and 398.34 is: 593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.99 : 624.24 = 398.34 : x
  2. Step 2: Convert to fraction form
    418.99/624.24 = 398.34/x
  3. Step 3: Cross multiply
    418.99x = 624.24 × 398.34
  4. Step 4: Simplify right side
    418.99x = 248,659.76
  5. Step 5: Solve for x
    x = 248,659.76/418.99
  6. Step 6: Final answer
    x = 593.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.