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Finding the Fourth Proportional to 523.43, 785.00 and 493.36

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Solution

The fourth proportional to 523.43, 785.00 and 493.36 is: 739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.43 : 785.00 = 493.36 : x
  2. Step 2: Convert to fraction form
    523.43/785.00 = 493.36/x
  3. Step 3: Cross multiply
    523.43x = 785.00 × 493.36
  4. Step 4: Simplify right side
    523.43x = 387,286.11
  5. Step 5: Solve for x
    x = 387,286.11/523.43
  6. Step 6: Final answer
    x = 739.90

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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.