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Finding the Fourth Proportional to 643.14, 962.82 and 489.24

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Solution

The fourth proportional to 643.14, 962.82 and 489.24 is: 732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.14 : 962.82 = 489.24 : x
  2. Step 2: Convert to fraction form
    643.14/962.82 = 489.24/x
  3. Step 3: Cross multiply
    643.14x = 962.82 × 489.24
  4. Step 4: Simplify right side
    643.14x = 471,050.06
  5. Step 5: Solve for x
    x = 471,050.06/643.14
  6. Step 6: Final answer
    x = 732.42

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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.