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Finding the Fourth Proportional to 483.82, 725.76 and 175.78

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Solution

The fourth proportional to 483.82, 725.76 and 175.78 is: 263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.82 : 725.76 = 175.78 : x
  2. Step 2: Convert to fraction form
    483.82/725.76 = 175.78/x
  3. Step 3: Cross multiply
    483.82x = 725.76 × 175.78
  4. Step 4: Simplify right side
    483.82x = 127,574.09
  5. Step 5: Solve for x
    x = 127,574.09/483.82
  6. Step 6: Final answer
    x = 263.68

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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.