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Finding the Fourth Proportional to 523.56, 785.18 and 328.35

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Solution

The fourth proportional to 523.56, 785.18 and 328.35 is: 492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.56 : 785.18 = 328.35 : x
  2. Step 2: Convert to fraction form
    523.56/785.18 = 328.35/x
  3. Step 3: Cross multiply
    523.56x = 785.18 × 328.35
  4. Step 4: Simplify right side
    523.56x = 257,813.85
  5. Step 5: Solve for x
    x = 257,813.85/523.56
  6. Step 6: Final answer
    x = 492.42

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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.