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Finding the Fourth Proportional to 484.69, 726.20 and 320.06

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Solution

The fourth proportional to 484.69, 726.20 and 320.06 is: 479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.69 : 726.20 = 320.06 : x
  2. Step 2: Convert to fraction form
    484.69/726.20 = 320.06/x
  3. Step 3: Cross multiply
    484.69x = 726.20 × 320.06
  4. Step 4: Simplify right side
    484.69x = 232,423.94
  5. Step 5: Solve for x
    x = 232,423.94/484.69
  6. Step 6: Final answer
    x = 479.54

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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.