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Finding the Fourth Proportional to 638.54, 956.83 and 433.07

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Solution

The fourth proportional to 638.54, 956.83 and 433.07 is: 648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.54 : 956.83 = 433.07 : x
  2. Step 2: Convert to fraction form
    638.54/956.83 = 433.07/x
  3. Step 3: Cross multiply
    638.54x = 956.83 × 433.07
  4. Step 4: Simplify right side
    638.54x = 414,374.37
  5. Step 5: Solve for x
    x = 414,374.37/638.54
  6. Step 6: Final answer
    x = 648.94

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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.