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Finding the Fourth Proportional to 523.54, 786.10 and 329.74

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Solution

The fourth proportional to 523.54, 786.10 and 329.74 is: 495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.54 : 786.10 = 329.74 : x
  2. Step 2: Convert to fraction form
    523.54/786.10 = 329.74/x
  3. Step 3: Cross multiply
    523.54x = 786.10 × 329.74
  4. Step 4: Simplify right side
    523.54x = 259,208.61
  5. Step 5: Solve for x
    x = 259,208.61/523.54
  6. Step 6: Final answer
    x = 495.11

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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.