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Finding the Fourth Proportional to 638.12, 961.96 and 596.36

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Solution

The fourth proportional to 638.12, 961.96 and 596.36 is: 899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.12 : 961.96 = 596.36 : x
  2. Step 2: Convert to fraction form
    638.12/961.96 = 596.36/x
  3. Step 3: Cross multiply
    638.12x = 961.96 × 596.36
  4. Step 4: Simplify right side
    638.12x = 573,674.47
  5. Step 5: Solve for x
    x = 573,674.47/638.12
  6. Step 6: Final answer
    x = 899.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.