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Finding the Fourth Proportional to 767.99, 1,151.46 and 459.90

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Solution

The fourth proportional to 767.99, 1,151.46 and 459.90 is: 689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.99 : 1,151.46 = 459.90 : x
  2. Step 2: Convert to fraction form
    767.99/1,151.46 = 459.90/x
  3. Step 3: Cross multiply
    767.99x = 1,151.46 × 459.90
  4. Step 4: Simplify right side
    767.99x = 529,556.45
  5. Step 5: Solve for x
    x = 529,556.45/767.99
  6. Step 6: Final answer
    x = 689.54

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