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Finding the Fourth Proportional to 420.92, 628.54 and 344.03

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Solution

The fourth proportional to 420.92, 628.54 and 344.03 is: 513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.92 : 628.54 = 344.03 : x
  2. Step 2: Convert to fraction form
    420.92/628.54 = 344.03/x
  3. Step 3: Cross multiply
    420.92x = 628.54 × 344.03
  4. Step 4: Simplify right side
    420.92x = 216,236.62
  5. Step 5: Solve for x
    x = 216,236.62/420.92
  6. Step 6: Final answer
    x = 513.72

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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.