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Finding the Fourth Proportional to 428.92, 643.50 and 348.44

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Solution

The fourth proportional to 428.92, 643.50 and 348.44 is: 522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.92 : 643.50 = 348.44 : x
  2. Step 2: Convert to fraction form
    428.92/643.50 = 348.44/x
  3. Step 3: Cross multiply
    428.92x = 643.50 × 348.44
  4. Step 4: Simplify right side
    428.92x = 224,221.14
  5. Step 5: Solve for x
    x = 224,221.14/428.92
  6. Step 6: Final answer
    x = 522.76

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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.