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Finding the Fourth Proportional to 927.37, 1,391.44 and 407.10

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Solution

The fourth proportional to 927.37, 1,391.44 and 407.10 is: 610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.37 : 1,391.44 = 407.10 : x
  2. Step 2: Convert to fraction form
    927.37/1,391.44 = 407.10/x
  3. Step 3: Cross multiply
    927.37x = 1,391.44 × 407.10
  4. Step 4: Simplify right side
    927.37x = 566,455.73
  5. Step 5: Solve for x
    x = 566,455.73/927.37
  6. Step 6: Final answer
    x = 610.82

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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.