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Finding the Fourth Proportional to 932.49, 1,399.14 and 445.41

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Solution

The fourth proportional to 932.49, 1,399.14 and 445.41 is: 668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.49 : 1,399.14 = 445.41 : x
  2. Step 2: Convert to fraction form
    932.49/1,399.14 = 445.41/x
  3. Step 3: Cross multiply
    932.49x = 1,399.14 × 445.41
  4. Step 4: Simplify right side
    932.49x = 623,190.95
  5. Step 5: Solve for x
    x = 623,190.95/932.49
  6. Step 6: Final answer
    x = 668.31

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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.