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Finding the Fourth Proportional to 524.27, 785.30 and 369.56

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Solution

The fourth proportional to 524.27, 785.30 and 369.56 is: 553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.27 : 785.30 = 369.56 : x
  2. Step 2: Convert to fraction form
    524.27/785.30 = 369.56/x
  3. Step 3: Cross multiply
    524.27x = 785.30 × 369.56
  4. Step 4: Simplify right side
    524.27x = 290,215.58
  5. Step 5: Solve for x
    x = 290,215.58/524.27
  6. Step 6: Final answer
    x = 553.56

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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.