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Finding the Fourth Proportional to 484.10, 726.48 and 288.97

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Solution

The fourth proportional to 484.10, 726.48 and 288.97 is: 433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.10 : 726.48 = 288.97 : x
  2. Step 2: Convert to fraction form
    484.10/726.48 = 288.97/x
  3. Step 3: Cross multiply
    484.10x = 726.48 × 288.97
  4. Step 4: Simplify right side
    484.10x = 209,934.01
  5. Step 5: Solve for x
    x = 209,934.01/484.10
  6. Step 6: Final answer
    x = 433.66

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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.