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Finding the Fourth Proportional to 523.43, 783.20 and 369.72

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Solution

The fourth proportional to 523.43, 783.20 and 369.72 is: 553.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.43 : 783.20 = 369.72 : x
  2. Step 2: Convert to fraction form
    523.43/783.20 = 369.72/x
  3. Step 3: Cross multiply
    523.43x = 783.20 × 369.72
  4. Step 4: Simplify right side
    523.43x = 289,562.86
  5. Step 5: Solve for x
    x = 289,562.86/523.43
  6. Step 6: Final answer
    x = 553.21

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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.