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Finding the Fourth Proportional to 643.34, 964.19 and 536.42

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Solution

The fourth proportional to 643.34, 964.19 and 536.42 is: 803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.34 : 964.19 = 536.42 : x
  2. Step 2: Convert to fraction form
    643.34/964.19 = 536.42/x
  3. Step 3: Cross multiply
    643.34x = 964.19 × 536.42
  4. Step 4: Simplify right side
    643.34x = 517,203.30
  5. Step 5: Solve for x
    x = 517,203.30/643.34
  6. Step 6: Final answer
    x = 803.94

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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.