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Finding the Fourth Proportional to 767.99, 1,151.98 and 280.92

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Solution

The fourth proportional to 767.99, 1,151.98 and 280.92 is: 421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.99 : 1,151.98 = 280.92 : x
  2. Step 2: Convert to fraction form
    767.99/1,151.98 = 280.92/x
  3. Step 3: Cross multiply
    767.99x = 1,151.98 × 280.92
  4. Step 4: Simplify right side
    767.99x = 323,617.84
  5. Step 5: Solve for x
    x = 323,617.84/767.99
  6. Step 6: Final answer
    x = 421.39

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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.