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Finding the Fourth Proportional to 484.94, 726.97 and 412.28

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Solution

The fourth proportional to 484.94, 726.97 and 412.28 is: 618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.94 : 726.97 = 412.28 : x
  2. Step 2: Convert to fraction form
    484.94/726.97 = 412.28/x
  3. Step 3: Cross multiply
    484.94x = 726.97 × 412.28
  4. Step 4: Simplify right side
    484.94x = 299,715.19
  5. Step 5: Solve for x
    x = 299,715.19/484.94
  6. Step 6: Final answer
    x = 618.05

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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.