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Finding the Fourth Proportional to 642.44, 964.10 and 277.27

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Solution

The fourth proportional to 642.44, 964.10 and 277.27 is: 416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.44 : 964.10 = 277.27 : x
  2. Step 2: Convert to fraction form
    642.44/964.10 = 277.27/x
  3. Step 3: Cross multiply
    642.44x = 964.10 × 277.27
  4. Step 4: Simplify right side
    642.44x = 267,316.01
  5. Step 5: Solve for x
    x = 267,316.01/642.44
  6. Step 6: Final answer
    x = 416.09

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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.