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Finding the Fourth Proportional to 939.15, 1,409.01 and 665.77

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Solution

The fourth proportional to 939.15, 1,409.01 and 665.77 is: 998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.15 : 1,409.01 = 665.77 : x
  2. Step 2: Convert to fraction form
    939.15/1,409.01 = 665.77/x
  3. Step 3: Cross multiply
    939.15x = 1,409.01 × 665.77
  4. Step 4: Simplify right side
    939.15x = 938,076.59
  5. Step 5: Solve for x
    x = 938,076.59/939.15
  6. Step 6: Final answer
    x = 998.86

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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.