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Finding the Fourth Proportional to 628.41, 936.62 and 613.83

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Solution

The fourth proportional to 628.41, 936.62 and 613.83 is: 914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.41 : 936.62 = 613.83 : x
  2. Step 2: Convert to fraction form
    628.41/936.62 = 613.83/x
  3. Step 3: Cross multiply
    628.41x = 936.62 × 613.83
  4. Step 4: Simplify right side
    628.41x = 574,926.99
  5. Step 5: Solve for x
    x = 574,926.99/628.41
  6. Step 6: Final answer
    x = 914.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.