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Finding the Fourth Proportional to 524.30, 785.85 and 263.78

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Solution

The fourth proportional to 524.30, 785.85 and 263.78 is: 395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.30 : 785.85 = 263.78 : x
  2. Step 2: Convert to fraction form
    524.30/785.85 = 263.78/x
  3. Step 3: Cross multiply
    524.30x = 785.85 × 263.78
  4. Step 4: Simplify right side
    524.30x = 207,287.58
  5. Step 5: Solve for x
    x = 207,287.58/524.30
  6. Step 6: Final answer
    x = 395.36

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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.