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Finding the Fourth Proportional to 638.08, 954.38 and 541.49

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Solution

The fourth proportional to 638.08, 954.38 and 541.49 is: 809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.08 : 954.38 = 541.49 : x
  2. Step 2: Convert to fraction form
    638.08/954.38 = 541.49/x
  3. Step 3: Cross multiply
    638.08x = 954.38 × 541.49
  4. Step 4: Simplify right side
    638.08x = 516,783.81
  5. Step 5: Solve for x
    x = 516,783.81/638.08
  6. Step 6: Final answer
    x = 809.91

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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.