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Finding the Fourth Proportional to 623.72, 936.66 and 431.48

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Solution

The fourth proportional to 623.72, 936.66 and 431.48 is: 647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.72 : 936.66 = 431.48 : x
  2. Step 2: Convert to fraction form
    623.72/936.66 = 431.48/x
  3. Step 3: Cross multiply
    623.72x = 936.66 × 431.48
  4. Step 4: Simplify right side
    623.72x = 404,150.06
  5. Step 5: Solve for x
    x = 404,150.06/623.72
  6. Step 6: Final answer
    x = 647.97

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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.