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Finding the Fourth Proportional to 484.81, 726.91 and 322.00

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Solution

The fourth proportional to 484.81, 726.91 and 322.00 is: 482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.81 : 726.91 = 322.00 : x
  2. Step 2: Convert to fraction form
    484.81/726.91 = 322.00/x
  3. Step 3: Cross multiply
    484.81x = 726.91 × 322.00
  4. Step 4: Simplify right side
    484.81x = 234,062.40
  5. Step 5: Solve for x
    x = 234,062.40/484.81
  6. Step 6: Final answer
    x = 482.79

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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.