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Finding the Fourth Proportional to 643.33, 964.91 and 277.81

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Solution

The fourth proportional to 643.33, 964.91 and 277.81 is: 416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.33 : 964.91 = 277.81 : x
  2. Step 2: Convert to fraction form
    643.33/964.91 = 277.81/x
  3. Step 3: Cross multiply
    643.33x = 964.91 × 277.81
  4. Step 4: Simplify right side
    643.33x = 268,060.26
  5. Step 5: Solve for x
    x = 268,060.26/643.33
  6. Step 6: Final answer
    x = 416.68

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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.