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Finding the Fourth Proportional to 643.47, 966.50 and 383.98

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Solution

The fourth proportional to 643.47, 966.50 and 383.98 is: 576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.47 : 966.50 = 383.98 : x
  2. Step 2: Convert to fraction form
    643.47/966.50 = 383.98/x
  3. Step 3: Cross multiply
    643.47x = 966.50 × 383.98
  4. Step 4: Simplify right side
    643.47x = 371,109.92
  5. Step 5: Solve for x
    x = 371,109.92/643.47
  6. Step 6: Final answer
    x = 576.73

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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.