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Finding the Fourth Proportional to 524.60, 785.83 and 249.86

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Solution

The fourth proportional to 524.60, 785.83 and 249.86 is: 374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.60 : 785.83 = 249.86 : x
  2. Step 2: Convert to fraction form
    524.60/785.83 = 249.86/x
  3. Step 3: Cross multiply
    524.60x = 785.83 × 249.86
  4. Step 4: Simplify right side
    524.60x = 196,347.48
  5. Step 5: Solve for x
    x = 196,347.48/524.60
  6. Step 6: Final answer
    x = 374.28

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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.