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Finding the Fourth Proportional to 511.67, 701.57 and 499.36

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Solution

The fourth proportional to 511.67, 701.57 and 499.36 is: 684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.67 : 701.57 = 499.36 : x
  2. Step 2: Convert to fraction form
    511.67/701.57 = 499.36/x
  3. Step 3: Cross multiply
    511.67x = 701.57 × 499.36
  4. Step 4: Simplify right side
    511.67x = 350,336.00
  5. Step 5: Solve for x
    x = 350,336.00/511.67
  6. Step 6: Final answer
    x = 684.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.