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Finding the Fourth Proportional to 428.20, 593.39 and 419.99

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Solution

The fourth proportional to 428.20, 593.39 and 419.99 is: 582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.20 : 593.39 = 419.99 : x
  2. Step 2: Convert to fraction form
    428.20/593.39 = 419.99/x
  3. Step 3: Cross multiply
    428.20x = 593.39 × 419.99
  4. Step 4: Simplify right side
    428.20x = 249,220.40
  5. Step 5: Solve for x
    x = 249,220.40/428.20
  6. Step 6: Final answer
    x = 582.02

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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.