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Finding the Fourth Proportional to 638.44, 957.46 and 407

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Solution

The fourth proportional to 638.44, 957.46 and 407 is: 610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.44 : 957.46 = 407 : x
  2. Step 2: Convert to fraction form
    638.44/957.46 = 407/x
  3. Step 3: Cross multiply
    638.44x = 957.46 × 407
  4. Step 4: Simplify right side
    638.44x = 389,686.22
  5. Step 5: Solve for x
    x = 389,686.22/638.44
  6. Step 6: Final answer
    x = 610.37

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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.