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Finding the Fourth Proportional to 766.28, 1,147.98 and 509

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Solution

The fourth proportional to 766.28, 1,147.98 and 509 is: 762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.28 : 1,147.98 = 509 : x
  2. Step 2: Convert to fraction form
    766.28/1,147.98 = 509/x
  3. Step 3: Cross multiply
    766.28x = 1,147.98 × 509
  4. Step 4: Simplify right side
    766.28x = 584,321.82
  5. Step 5: Solve for x
    x = 584,321.82/766.28
  6. Step 6: Final answer
    x = 762.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.