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Finding the Fourth Proportional to 511.92, 701.94 and 505.44

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Solution

The fourth proportional to 511.92, 701.94 and 505.44 is: 693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.92 : 701.94 = 505.44 : x
  2. Step 2: Convert to fraction form
    511.92/701.94 = 505.44/x
  3. Step 3: Cross multiply
    511.92x = 701.94 × 505.44
  4. Step 4: Simplify right side
    511.92x = 354,788.55
  5. Step 5: Solve for x
    x = 354,788.55/511.92
  6. Step 6: Final answer
    x = 693.05

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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.