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Finding the Fourth Proportional to 524.36, 786.79 and 371.27

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Solution

The fourth proportional to 524.36, 786.79 and 371.27 is: 557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.36 : 786.79 = 371.27 : x
  2. Step 2: Convert to fraction form
    524.36/786.79 = 371.27/x
  3. Step 3: Cross multiply
    524.36x = 786.79 × 371.27
  4. Step 4: Simplify right side
    524.36x = 292,105.73
  5. Step 5: Solve for x
    x = 292,105.73/524.36
  6. Step 6: Final answer
    x = 557.08

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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.