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Finding the Fourth Proportional to 642.64, 964.08 and 231.79

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Solution

The fourth proportional to 642.64, 964.08 and 231.79 is: 347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.64 : 964.08 = 231.79 : x
  2. Step 2: Convert to fraction form
    642.64/964.08 = 231.79/x
  3. Step 3: Cross multiply
    642.64x = 964.08 × 231.79
  4. Step 4: Simplify right side
    642.64x = 223,464.10
  5. Step 5: Solve for x
    x = 223,464.10/642.64
  6. Step 6: Final answer
    x = 347.73

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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.