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Finding the Fourth Proportional to 511.94, 762.98 and 511.14

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Solution

The fourth proportional to 511.94, 762.98 and 511.14 is: 761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.94 : 762.98 = 511.14 : x
  2. Step 2: Convert to fraction form
    511.94/762.98 = 511.14/x
  3. Step 3: Cross multiply
    511.94x = 762.98 × 511.14
  4. Step 4: Simplify right side
    511.94x = 389,989.60
  5. Step 5: Solve for x
    x = 389,989.60/511.94
  6. Step 6: Final answer
    x = 761.79

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.