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Finding the Fourth Proportional to 766.08, 1,147.96 and 509.04

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Solution

The fourth proportional to 766.08, 1,147.96 and 509.04 is: 762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.08 : 1,147.96 = 509.04 : x
  2. Step 2: Convert to fraction form
    766.08/1,147.96 = 509.04/x
  3. Step 3: Cross multiply
    766.08x = 1,147.96 × 509.04
  4. Step 4: Simplify right side
    766.08x = 584,357.56
  5. Step 5: Solve for x
    x = 584,357.56/766.08
  6. Step 6: Final answer
    x = 762.79

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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.