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Finding the Fourth Proportional to 511.49, 771.78 and 492.52

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Solution

The fourth proportional to 511.49, 771.78 and 492.52 is: 743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.49 : 771.78 = 492.52 : x
  2. Step 2: Convert to fraction form
    511.49/771.78 = 492.52/x
  3. Step 3: Cross multiply
    511.49x = 771.78 × 492.52
  4. Step 4: Simplify right side
    511.49x = 380,117.09
  5. Step 5: Solve for x
    x = 380,117.09/511.49
  6. Step 6: Final answer
    x = 743.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.