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Finding the Fourth Proportional to 523.54, 783.93 and 369.23

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Solution

The fourth proportional to 523.54, 783.93 and 369.23 is: 552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.54 : 783.93 = 369.23 : x
  2. Step 2: Convert to fraction form
    523.54/783.93 = 369.23/x
  3. Step 3: Cross multiply
    523.54x = 783.93 × 369.23
  4. Step 4: Simplify right side
    523.54x = 289,450.47
  5. Step 5: Solve for x
    x = 289,450.47/523.54
  6. Step 6: Final answer
    x = 552.88

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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.