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Finding the Fourth Proportional to 523.70, 785.32 and 263.60

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Solution

The fourth proportional to 523.70, 785.32 and 263.60 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.70 : 785.32 = 263.60 : x
  2. Step 2: Convert to fraction form
    523.70/785.32 = 263.60/x
  3. Step 3: Cross multiply
    523.70x = 785.32 × 263.60
  4. Step 4: Simplify right side
    523.70x = 207,010.35
  5. Step 5: Solve for x
    x = 207,010.35/523.70
  6. Step 6: Final answer
    x = 395.28

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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.