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Finding the Fourth Proportional to 523.53, 786.24 and 341.28

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Solution

The fourth proportional to 523.53, 786.24 and 341.28 is: 512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.53 : 786.24 = 341.28 : x
  2. Step 2: Convert to fraction form
    523.53/786.24 = 341.28/x
  3. Step 3: Cross multiply
    523.53x = 786.24 × 341.28
  4. Step 4: Simplify right side
    523.53x = 268,327.99
  5. Step 5: Solve for x
    x = 268,327.99/523.53
  6. Step 6: Final answer
    x = 512.54

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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.