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Finding the Fourth Proportional to 424.40, 628.76 and 408.20

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Solution

The fourth proportional to 424.40, 628.76 and 408.20 is: 604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.40 : 628.76 = 408.20 : x
  2. Step 2: Convert to fraction form
    424.40/628.76 = 408.20/x
  3. Step 3: Cross multiply
    424.40x = 628.76 × 408.20
  4. Step 4: Simplify right side
    424.40x = 256,659.83
  5. Step 5: Solve for x
    x = 256,659.83/424.40
  6. Step 6: Final answer
    x = 604.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.