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Finding the Fourth Proportional to 932.94, 1,399.46 and 660.25

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Solution

The fourth proportional to 932.94, 1,399.46 and 660.25 is: 990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.94 : 1,399.46 = 660.25 : x
  2. Step 2: Convert to fraction form
    932.94/1,399.46 = 660.25/x
  3. Step 3: Cross multiply
    932.94x = 1,399.46 × 660.25
  4. Step 4: Simplify right side
    932.94x = 923,990.16
  5. Step 5: Solve for x
    x = 923,990.16/932.94
  6. Step 6: Final answer
    x = 990.41

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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.