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Finding the Fourth Proportional to 939.65, 1,410.62 and 665.97

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Solution

The fourth proportional to 939.65, 1,410.62 and 665.97 is: 999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.65 : 1,410.62 = 665.97 : x
  2. Step 2: Convert to fraction form
    939.65/1,410.62 = 665.97/x
  3. Step 3: Cross multiply
    939.65x = 1,410.62 × 665.97
  4. Step 4: Simplify right side
    939.65x = 939,429.92
  5. Step 5: Solve for x
    x = 939,429.92/939.65
  6. Step 6: Final answer
    x = 999.77

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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.