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Finding the Fourth Proportional to 638.38, 957.05 and 407.23

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Solution

The fourth proportional to 638.38, 957.05 and 407.23 is: 610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.38 : 957.05 = 407.23 : x
  2. Step 2: Convert to fraction form
    638.38/957.05 = 407.23/x
  3. Step 3: Cross multiply
    638.38x = 957.05 × 407.23
  4. Step 4: Simplify right side
    638.38x = 389,736.57
  5. Step 5: Solve for x
    x = 389,736.57/638.38
  6. Step 6: Final answer
    x = 610.51

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Double scale
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1.5x scale

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.