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Finding the Fourth Proportional to 625.59, 936.77 and 431.19

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Solution

The fourth proportional to 625.59, 936.77 and 431.19 is: 645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.59 : 936.77 = 431.19 : x
  2. Step 2: Convert to fraction form
    625.59/936.77 = 431.19/x
  3. Step 3: Cross multiply
    625.59x = 936.77 × 431.19
  4. Step 4: Simplify right side
    625.59x = 403,923.70
  5. Step 5: Solve for x
    x = 403,923.70/625.59
  6. Step 6: Final answer
    x = 645.67

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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.