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Finding the Fourth Proportional to 643.02, 963.72 and 383.42

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Solution

The fourth proportional to 643.02, 963.72 and 383.42 is: 574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.02 : 963.72 = 383.42 : x
  2. Step 2: Convert to fraction form
    643.02/963.72 = 383.42/x
  3. Step 3: Cross multiply
    643.02x = 963.72 × 383.42
  4. Step 4: Simplify right side
    643.02x = 369,504.70
  5. Step 5: Solve for x
    x = 369,504.70/643.02
  6. Step 6: Final answer
    x = 574.64

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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.