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Finding the Fourth Proportional to 420.24, 582.59 and 398.03

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Solution

The fourth proportional to 420.24, 582.59 and 398.03 is: 551.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.24 : 582.59 = 398.03 : x
  2. Step 2: Convert to fraction form
    420.24/582.59 = 398.03/x
  3. Step 3: Cross multiply
    420.24x = 582.59 × 398.03
  4. Step 4: Simplify right side
    420.24x = 231,887.20
  5. Step 5: Solve for x
    x = 231,887.20/420.24
  6. Step 6: Final answer
    x = 551.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.