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Finding the Fourth Proportional to 484.84, 726.79 and 155.60

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Solution

The fourth proportional to 484.84, 726.79 and 155.60 is: 233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.84 : 726.79 = 155.60 : x
  2. Step 2: Convert to fraction form
    484.84/726.79 = 155.60/x
  3. Step 3: Cross multiply
    484.84x = 726.79 × 155.60
  4. Step 4: Simplify right side
    484.84x = 113,087.52
  5. Step 5: Solve for x
    x = 113,087.52/484.84
  6. Step 6: Final answer
    x = 233.25

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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.