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Finding the Fourth Proportional to 927.54, 1,391.43 and 407.49

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Solution

The fourth proportional to 927.54, 1,391.43 and 407.49 is: 611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.54 : 1,391.43 = 407.49 : x
  2. Step 2: Convert to fraction form
    927.54/1,391.43 = 407.49/x
  3. Step 3: Cross multiply
    927.54x = 1,391.43 × 407.49
  4. Step 4: Simplify right side
    927.54x = 566,993.81
  5. Step 5: Solve for x
    x = 566,993.81/927.54
  6. Step 6: Final answer
    x = 611.29

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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.