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Finding the Fourth Proportional to 513.05, 705.99 and 499.46

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Solution

The fourth proportional to 513.05, 705.99 and 499.46 is: 687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.05 : 705.99 = 499.46 : x
  2. Step 2: Convert to fraction form
    513.05/705.99 = 499.46/x
  3. Step 3: Cross multiply
    513.05x = 705.99 × 499.46
  4. Step 4: Simplify right side
    513.05x = 352,610.24
  5. Step 5: Solve for x
    x = 352,610.24/513.05
  6. Step 6: Final answer
    x = 687.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.