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Finding the Fourth Proportional to 638.37, 956.91 and 407.52

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Solution

The fourth proportional to 638.37, 956.91 and 407.52 is: 610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.37 : 956.91 = 407.52 : x
  2. Step 2: Convert to fraction form
    638.37/956.91 = 407.52/x
  3. Step 3: Cross multiply
    638.37x = 956.91 × 407.52
  4. Step 4: Simplify right side
    638.37x = 389,961.49
  5. Step 5: Solve for x
    x = 389,961.49/638.37
  6. Step 6: Final answer
    x = 610.87

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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.