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Finding the Fourth Proportional to 482.71, 725.36 and 263.49

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Solution

The fourth proportional to 482.71, 725.36 and 263.49 is: 395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.71 : 725.36 = 263.49 : x
  2. Step 2: Convert to fraction form
    482.71/725.36 = 263.49/x
  3. Step 3: Cross multiply
    482.71x = 725.36 × 263.49
  4. Step 4: Simplify right side
    482.71x = 191,121.07
  5. Step 5: Solve for x
    x = 191,121.07/482.71
  6. Step 6: Final answer
    x = 395.93

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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.