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Finding the Fourth Proportional to 420.56, 629 and 344.04

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Solution

The fourth proportional to 420.56, 629 and 344.04 is: 514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.56 : 629 = 344.04 : x
  2. Step 2: Convert to fraction form
    420.56/629 = 344.04/x
  3. Step 3: Cross multiply
    420.56x = 629 × 344.04
  4. Step 4: Simplify right side
    420.56x = 216,401.16
  5. Step 5: Solve for x
    x = 216,401.16/420.56
  6. Step 6: Final answer
    x = 514.55

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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.