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Finding the Fourth Proportional to 523.83, 785.63 and 378.94

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Solution

The fourth proportional to 523.83, 785.63 and 378.94 is: 568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.83 : 785.63 = 378.94 : x
  2. Step 2: Convert to fraction form
    523.83/785.63 = 378.94/x
  3. Step 3: Cross multiply
    523.83x = 785.63 × 378.94
  4. Step 4: Simplify right side
    523.83x = 297,706.63
  5. Step 5: Solve for x
    x = 297,706.63/523.83
  6. Step 6: Final answer
    x = 568.33

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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.