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Finding the Fourth Proportional to 524.57, 785.77 and 518.09

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Solution

The fourth proportional to 524.57, 785.77 and 518.09 is: 776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.57 : 785.77 = 518.09 : x
  2. Step 2: Convert to fraction form
    524.57/785.77 = 518.09/x
  3. Step 3: Cross multiply
    524.57x = 785.77 × 518.09
  4. Step 4: Simplify right side
    524.57x = 407,094.36
  5. Step 5: Solve for x
    x = 407,094.36/524.57
  6. Step 6: Final answer
    x = 776.06

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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.