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Finding the Fourth Proportional to 623.65, 935.17 and 363.73

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Solution

The fourth proportional to 623.65, 935.17 and 363.73 is: 545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.65 : 935.17 = 363.73 : x
  2. Step 2: Convert to fraction form
    623.65/935.17 = 363.73/x
  3. Step 3: Cross multiply
    623.65x = 935.17 × 363.73
  4. Step 4: Simplify right side
    623.65x = 340,149.38
  5. Step 5: Solve for x
    x = 340,149.38/623.65
  6. Step 6: Final answer
    x = 545.42

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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.